Exercise 27A Archives - Noon Academy

Exercise 27A

Evaluate $\mathop {\lim }\limits_{x \to a} \left( {\frac{{\sqrt x - \sqrt a }}{{x - a}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{h \to 0} \left( {\frac{{\sqrt x+h - \sqrt x }}{h} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{h \to 0} \frac{1}{h}\left\{ {\frac{1}{{\sqrt {x + h} }} - \frac{1}{{\sqrt x }}} \right\}$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 0} \left( {\frac{{\sqrt {1 + x} - 1}}{x}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 0} \left( {\frac{{\sqrt {2 - x} - \sqrt {2 + x} }}{x}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 2} (5 - x)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 1} (6{x^2} - 4x + 3)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 3} \left( {\frac{{{x^2} + 9}}{{x + 3}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 3} \left( {\frac{{{x^2} - 4x}}{{x - 2}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 5} \left( {\frac{{{x^2} - 25}}{{x - 5}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 1} \left( {\frac{{{x^3} - 1}}{{x - 1}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to -2} \left( {\frac{{{x^3} + 8}}{{x + 2}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 3} \left( {\frac{{{x^4} - 81}}{{x - 3}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 3} \left( {\frac{{{x^2} - 4x + 3}}{{{x^2} - 2x - 3}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to \frac{1}{2}} \left( {\frac{{4{x^2} - 1}}{{2x - 1}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to \ 4} \left( {\frac{{{x^3} - 64}}{{{x^2} - 16}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to \ 2} \left( {\frac{{{x^5} - 32}}{{{x^3} - 8}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to a} \left( {\frac{{{x^{\frac{5}{2}}} - {a^{\frac{5}{2}}}}}{{x - a}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to a} \left( {\frac{{{(x+2)^{\frac{5}{2}}} - {(a+2)^{\frac{5}{2}}}}}{{x - a}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to 1} \left( {\frac{{{x^n} - 1}}{{ x - 1}}} \right)$

CBSE, Class 11, Exercise 27A, Limits, Maths, RS Aggarwal

Answer:

Evaluate $\mathop {\lim }\limits_{x \to a} \left( {\frac{{\sqrt x - \sqrt a }}{{x - a}}} \right)$

Evaluate $\mathop {\lim }\limits_{h \to 0} \left( {\frac{{\sqrt x+h - \sqrt x }}{h} \right)$

Evaluate $\mathop {\lim }\limits_{h \to 0} \frac{1}{h}\left\{ {\frac{1}{{\sqrt {x + h} }} - \frac{1}{{\sqrt x }}} \right\}$

Evaluate $\mathop {\lim }\limits_{x \to 0} \left( {\frac{{\sqrt {1 + x} - 1}}{x}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to 0} \left( {\frac{{\sqrt {2 - x} - \sqrt {2 + x} }}{x}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to 2} (5 - x)$

Evaluate $\mathop {\lim }\limits_{x \to 1} (6{x^2} - 4x + 3)$

Evaluate $\mathop {\lim }\limits_{x \to 3} \left( {\frac{{{x^2} + 9}}{{x + 3}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to 3} \left( {\frac{{{x^2} - 4x}}{{x - 2}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to 5} \left( {\frac{{{x^2} - 25}}{{x - 5}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to 1} \left( {\frac{{{x^3} - 1}}{{x - 1}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to -2} \left( {\frac{{{x^3} + 8}}{{x + 2}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to 3} \left( {\frac{{{x^4} - 81}}{{x - 3}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to 3} \left( {\frac{{{x^2} - 4x + 3}}{{{x^2} - 2x - 3}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to \frac{1}{2}} \left( {\frac{{4{x^2} - 1}}{{2x - 1}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to \ 4} \left( {\frac{{{x^3} - 64}}{{{x^2} - 16}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to \ 2} \left( {\frac{{{x^5} - 32}}{{{x^3} - 8}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to a} \left( {\frac{{{x^{\frac{5}{2}}} - {a^{\frac{5}{2}}}}}{{x - a}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to a} \left( {\frac{{{(x+2)^{\frac{5}{2}}} - {(a+2)^{\frac{5}{2}}}}}{{x - a}}} \right)$

Evaluate $\mathop {\lim }\limits_{x \to 1} \left( {\frac{{{x^n} - 1}}{{ x - 1}}} \right)$

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