Evaluate the following limits: lim [4^{x-1}-2^x+1/(x-1)^2] (x ∈ 1)

Question

Evaluate the following limits:

\(\lim\limits_{x\longrightarrow 1}[\frac{4^{x-1}-2^x+1}{(x-1)^2}]\)

lim [4^x-1-2^x+1/(x-1)²] (x ∈ 1) 

Answer 1

\(\lim\limits_{x\longrightarrow 1}[\frac{4^{x-1}-2^x+1}{(x-1)^2}]\)