lim [2^{2x-2}-2^x+1/sin^2(x-1)] (x ∈ 1)

Question

Evaluate the following limits:

\(\lim\limits_{x\longrightarrow 1}[\frac{2^{2x-2}-2^x+1}{sin^2(x-1)}]\)

lim [2^2x-2-2^x+1/sin²(x-1)] (x ∈ 1) 

Answer 1

\(\lim\limits_{x\longrightarrow 1}\frac{2^{2x-2}-2^x+1}{sin^2(x-1)}\)