Select the correct answer from the given alternatives. lim [15^x-3^x-5^x+1/sin^2x](x ∈ 0)

Question

Select the correct answer from the given alternatives.

\(\lim\limits_{x\longrightarrow0}[\frac{15^x-3^x-5^x+1}{sin^2x}]=\)

lim [15^x-3^x-5^x+1/sin²x](x ∈ 0) =

(A) log 15 

(B) log 3 + log 5

(C) log 3 . log 5 

(D) 3 log 5

Answer 1

Correct option is: (C) log 3. log 5

\(\lim\limits_{x\longrightarrow0}[\frac{15^x-3^x-5^x+1}{sin^2x}]\)