What is the limit of $\frac{sin x}{tan x}$ $sinx/tanx$ as x approaches 0?

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Answer 1 · 2016-07-23T22:06:08

1

Recall that $tan x = \frac{sin x}{cos x}$ $tanx = (sinx)/(cosx)$

$lim_(xrarr0) sinx/tanx = lim_(xrarr0) sinx/(sinx/cosx) = lim_(xrarr0) cosx = cos(0) = 1$

What is the limit of sinx/tanx sinxtanxsinx/tanx as x approaches 0?