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Question

Mathematics Question on Trigonometric Equations

Match List-I and List-II

LIST I**LIST II **
A.Value oflimx0(sinxx)sinxxsinx\lim\limits_{x\rightarrow0}\left(\frac{sinx}{x}\right)^{\frac{sinx}{x-sinx}}
B.Value of limx00xsint2dtx2\lim\limits_{x\rightarrow0}\int\limits_0^x\frac{sint^2dt}{x^2}is
C.Value of limx0(e2x+x)1x\lim\limits_{x\rightarrow0}(e^{2x}+x)^{\frac{1}{x}}is
D.Value limxalog(xa)log(exea)\lim\limits_{x\rightarrow a}\frac{log(x-a)}{log(e^x-e^a)}of

Choose the correct answer from the options given below:

A

A-II, B-III, C-I, D-IV

B

A-II, B-IV, C-III, D-I

C

A-IV, B-II, C-III, D-I

D

A-IV, B-II, C-I, D-III

Answer

A-IV, B-II, C-I, D-III

Explanation

Solution

The correct answer is(D): A-IV, B-II, C-I, D-III