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(Solved):   (1) \( \lim _{x \rightarrow 2} \frac{\ln (3 x-5)}{2-x} \) [2] \( \lim _{x \rightarrow \fra ...



(1) \( \lim _{x \rightarrow 2} \frac{\ln (3 x-5)}{2-x} \)
[2] \( \lim _{x \rightarrow \frac{\pi}{4}} \frac{\cos x+\sin x}{\co

 

(1) \( \lim _{x \rightarrow 2} \frac{\ln (3 x-5)}{2-x} \) [2] \( \lim _{x \rightarrow \frac{\pi}{4}} \frac{\cos x+\sin x}{\cot x+\tan x} \) If \( y=\ln (\tan x) \) Prove that \( y^{\prime}=2 \csc (2 x) \) find 11) \( \int \frac{e^{\cot x}}{\cos ^{2} x-1} d x \) [2] \( \int \cos ^{4} x \sin ^{3} x d x \)


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(2) To find : given limits (1) Giv
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