Exercise 27B Archives - Noon Academy

Exercise 27B

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin (x/4)}}{{x}}$

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

Answer:

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin x cos x}}{{3x}}$

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

Answer:

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} (x\cot 2x)$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} x{\mathop{\rm cosec}\nolimits} x$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\tan x - \sin x}}{{{{\sin }^3}x}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{x\cos x + \sin x}}{{{x^2} + \tan x}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{({x^2} - \tan 2x)}}{{\tan x}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\(tan2x - x)}}{{(3x - tanx)}}$

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

Answer:

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin 2x + 3x}}{{2x + sin3x}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to {\raise0.7ex\hbox{$ \pi $} \!\mathord{\left/ {\vphantom {\pi 6}}\right.\kern-\nulldelimiterspace} \!\lower0.7ex\hbox{$ 6 $}}} \frac{{(2{{\sin }^2}x + \sin x - 1)}}{{(2{{\sin }^2}x - 3\sin x + 1)}}$

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

Answer:

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sinx - 2sin3x + sin5x}}{{x}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin mx}}{{tan nx}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\tan 3x}}{{sin 4x}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin 4x}}{{tan 7x}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\tan \alpha x}}{{\tan \beta x}}$

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

Answer:

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\tan 3x}}{{tan 5x}}$

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

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Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin 5x}}{{sin 8x}}$

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

Answer:

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin 4x}}{{6x}}$

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

Answer:

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin (x/4)}}{{x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin x cos x}}{{3x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} (x\cot 2x)$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} x{\mathop{\rm cosec}\nolimits} x$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\tan x - \sin x}}{{{{\sin }^3}x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{x\cos x + \sin x}}{{{x^2} + \tan x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{({x^2} - \tan 2x)}}{{\tan x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\(tan2x - x)}}{{(3x - tanx)}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin 2x + 3x}}{{2x + sin3x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to {\raise0.7ex\hbox{$ \pi $} \!\mathord{\left/ {\vphantom {\pi 6}}\right.\kern-\nulldelimiterspace} \!\lower0.7ex\hbox{$ 6 $}}} \frac{{(2{{\sin }^2}x + \sin x - 1)}}{{(2{{\sin }^2}x - 3\sin x + 1)}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sinx - 2sin3x + sin5x}}{{x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin mx}}{{tan nx}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\tan 3x}}{{sin 4x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin 4x}}{{tan 7x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\tan \alpha x}}{{\tan \beta x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\tan 3x}}{{tan 5x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin 5x}}{{sin 8x}}$

Evaluate the following limits: $\mathop {\lim }\limits_{x \to 0} \frac{{\sin 4x}}{{6x}}$

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