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Limits question bank (Mathematics)

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Q1.

The value of $\lim _{x \rightarrow 0} \frac{\cos (\sin x)-\cos x}{x^{4}}$ is equal to

(A)

$1 / 5$

(B)

$1 / 6$

(C)

$1 / 4$

(D)

$1 / 2$

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Q2.

$\lim _{x \rightarrow 0} \frac{\left(7^x-1\right)^4}{\tan \left(\frac{x}{\mathrm{k}}\right) \cdot \log \left(1+\frac{x^2}{3}\right) \cdot \sin 4 x}=3(\log 7)^3$

(A)

$4(\log 7)^{-1}$

(B)

$\frac{1}{4}(\log 7)^{-1}$

(C)

$4 \log \left(\frac{1}{7}\right)$

(D)

$\frac{1}{4} \log 7$

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