A real function f is said to be continuous at x = c, where c is any point in the domain of f if A function is continuous at x = c if Function is changing its nature (or expression) at x = 2, so we...
If for , find the value which can be assigned to at so that the function becomes continuous everywhere in .
A real function f is said to be continuous at x = c, where c is any point in the domain of f if Where h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as...
The function is defined by If f is continuous on [0, 8], find the values of a and b.
A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x → c...
Find the values of a and b so that the function f (x) defined by
The function Is continuous on . Find the most suitable values of and .
A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x → c...
In the following, determine the value(s) of constant(s) involved in the definition so that the given function is continuous: (vii) (viii)
(vii) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x →...
In the following, determine the value(s) of constant(s) involved in the definition so that the given function is continuous: (v) (vi)
(v) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x → c...
In the following, determine the value(s) of constant(s) involved in the definition so that the given function is continuous: (iii) (i v)
(iii) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x →...
In the following, determine the value(s) of constant(s) involved in the definition so that the given function is continuous: (i) (ii)
(i) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x → c...
Find the points of discontinuity, if any, of the following functions: (x i i i)
(xiii) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x...
Find the points of discontinuity, if any, of the following functions: (x i) (x i i)
(xi) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x →...
Find the points of discontinuity, if any, of the following functions: (i x) (x)
(ix) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x →...
Find the points of discontinuity, if any, of the following functions: (viii)
((vii) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x...
Find the points of discontinuity, if any, of the following functions: (iii) (i v)
(iii) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x →...
Find the points of discontinuity, if any, of the following functions: (i) (ii)
(i) A real function f is said to be continuous at x = c, where c is any point in the domain of f if h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x → c...
Discuss the the continuity of the function
A real function f is said to be continuous at x = c, where c is any point in the domain of f if Since, h is a very small positive number. i.e. left hand limit as x → c (LHL) = right hand limit as x...
Prove that the function is everywhere continuous.
A real function f is said to be continuous at x = c, where c is any point in the domain of f if A function is continuous at x = c if From definition of f(x), f(x) is defined for all real numbers....
Find the values of a so that the function
Determine the value of the constant so that the function is continuous at
Determine the value of the constant so that the function
For what value of is the function
Determine the value of the constant so that the function
For what value of is the function
Discuss the continuity of
Discuss the continuity of the function
Discuss the continuity of the function
Examine the continuity of the function
Also sketch the graph of this function.
Hence f (x) is discontinuous at x = 0
Find the value of a for which the function defined by
Discuss the continuity of the following functions at the indicated point(s): (vii) (viii)
(vii) (viii)
Discuss the continuity of the following functions at the indicated point(s):
(vi) atx
(v) (vi)
Discuss the continuity of the following functions at the indicated point(s):
(iii) (iv)
Discuss the continuity of the following functions at the indicated point(s): (i) atx
(i) (ii)
If Find whether is continuous at .
If Find whether is continuous at .
Find whether is continuous at .
A function is defined as
Show that is continuous at .
A function is defined as
Show that is continuous at .
Test the continuity of the following function at the origin:
Consider LHL at x = 0