Let . Then is equal…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

f(x)=\frac{2+e^{\frac{1}{x}}}{1+e^{\frac{4}{x}}}+\frac{\sin x}{|x|}

. Then

\lim_{x\to0}f(x)

is equal to (a)

1

(b)

2

(c)

3

(d) Non-existent