Find the values of a and b such that the function f defined by following function is a continuous function at x = 4.

Home » Find the values of a and b such that the function f defined by following function is a continuous function at x = 4.

Find the values of a and b such that the function f defined by following function is a continuous function at x = 4.

NCERT Exemplar Solutions Class 12 Mathematics Chapter 5 - 33

NCERT Exemplar Solutions Class 12 Mathematics Chapter 5 - 34

So,

$-1\text{ }+\text{ }a\text{ }=\text{ }a\text{ }+\text{ }b\text{ }=\text{ }1\text{ }+\text{ }b$

$-1\text{ }+\text{ }a\text{ }=\text{ }a\text{ }+\text{ }b\text{ }and\text{ }1\text{ }+\text{ }b\text{ }=\text{ }a\text{ }+\text{ }b$

We get,

$b\text{ }=\text{ }-1\text{ }and\text{ }1\text{ }+\text{ }-1\text{ }=\text{ }a\text{ }+\text{ }-1\Rightarrow a\text{ }=\text{ }1$

Therefore, the value of

$a\text{ }=\text{ }1\text{ }and\text{ }b\text{ }=\text{ }-1$

i

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