Question

find the limit of sin(x)/x as x approaches 0

Answer 1

\[\lim_{x \rightarrow 0}\frac{\sin x}{x}=1\]for many reasons. If you don't know l'Hospital's rule you need to prove it geometrically.

Answer 2

how can i prove it geometrically

Answer 3

http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-a-definition-and-basic-rules/session-8-limits-of-sine-and-cosine/

Answer 4

By drawing the graph, which will have a hole at x = 0 and seeing what the graph is getting very close to. It will be 1