Question

Solve this limit algebraically: Lim as X approches 0 (X+sinX)/X

Answer 1

2?

Answer 2

\[\lim_{x \rightarrow 0}\frac{x+\sin(x)}{x}=\lim_{x \rightarrow 0}\frac{x}{x}+\lim_{x \rightarrow 0}\frac{\sin(x)}{x}=1+1=2\]

Answer 3

\[\lim_{x\rightarrow 0}\frac{x}{x}+\frac{\sin(x)}{x}=1+1=2\]