\(\lim_{x\rightarrow 0}\frac{sin5x}{x}\)
lim sin(5x) / x multiply top/bottom by 5
x → 0
lim (5) sin(5x) / (5x) abd we can write
5 * lim sin(5x) / (5x)
5 * [ 1 ] =
5
See the graph here : https://www.desmos.com/calculator/wmfmgsmfrg