Select the correct answer from the given alternatives. lim [3^{cos x} -1/π/2-x](x ∈ π/2)

Question

Select the correct answer from the given alternatives.

\(\lim\limits_{x\longrightarrow\frac \pi2}(\frac{3^{cos\,x}-1}{\frac π2-x})=\)

lim [3^{cos x} -1/π/2-x](x ∈ π/2) =

(A)  1

(B) log 3

(C) 3^π/2

(D) 3 log 3

Answer 1

Correct option is: (B) log 3

\(\lim\limits_{x\longrightarrow\frac \pi2}(\frac{3^{cos\,x}-1}{\frac π2-x})\)