Question

Match List-I and List-II

LIST I		LIST II
A.	Value of\(\lim\limits_{x\rightarrow0}\left(\frac{sinx}{x}\right)^{\frac{sinx}{x-sinx}}\)	I.	e3
B.	Value of \(\lim\limits_{x\rightarrow0}\int\limits_0^x\frac{sint^2dt}{x^2}\)is	II.	0
C.	Value of \(\lim\limits_{x\rightarrow0}(e^{2x}+x)^{\frac{1}{x}}\)is	III.	1
D.	Value \(\lim\limits_{x\rightarrow a}\frac{log(x-a)}{log(e^x-e^a)}\)of	IV.	e-1

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 1

The Correct Option is D

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