Question

Match List-I and List-II

LIST I		LIST II
A.	\(\lim\limits_{x\rightarrow0}(1+sinx)^{2\cot x}\)	I.	e-1/6
B.	\(\lim\limits_{x\rightarrow0}e^x-(1+x)/x^2\)	II.	e
C.	\(\lim\limits_{x\rightarrow0}(\frac{sinx}{x})^{1/x^2}\)	III.	e2
D.	\(\lim\limits_{x\rightarrow\infty}(\frac{x+2}{x+1})^{x+3}\)	IV.	½

Choose the correct answer from the options given below:

• A. (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
• B. (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
• C. (A)-(1), (B)-(II), (C)-(III), (D)-(IV)
• D. (A)-(II), (B)-(I), (C)-(III), (D)-(IV)

Answer 1

The Correct Option is B

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