Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 87

EASY

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IMPORTANT

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$\lim_{n \to \infty} \{\frac{- 3 n + (- 1)^{n}}{4 n - (- 1)^{n}}\}$ is equal to $(n \in N)$

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Important Questions on Limits

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 88

\lim_{x \to 1} (\frac{2}{1 - x^{2}} + \frac{1}{x - 1})

is equal to;

MEDIUM

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 89

\lim_{x \to \infty} (x - x^{2} \ln (1 + \frac{1}{x}))

is equal to

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 90

\lim_{x \to 0} \frac{e^{- \frac{x^{2}}{2}} - \cos x}{x^{3} \sin x}

is equal to

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 91

\lim_{x \to 0} \frac{\sin (6 x^{2})}{\ln (\cos (2 x^{2} - x))}

is equal to

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 92

\lim_{h \to 0} \frac{\sin (a + 3 h) - 3 \sin (a + 2 h) + 3 \sin (a + h) - \sin a}{h^{3}}

is equal to

MEDIUM

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 93

\lim_{x \to \infty} {(\frac{x + 2}{x - 2})}^{x + 1}

is equal to

MEDIUM

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 94

\lim_{x \to 0^{+}} {(1 + \tan^{2} \sqrt{x})}^{\frac{5}{x}}

is equal to

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 25 - Limits>Exercise-1>Q 95

The value of

\lim_{x \to \frac{π}{4}} {(1 + [x])}^{\frac{1}{\ln (\tan x)}}

is equal to (where

[.]

denotes the greatest integer function)