Question

need help on solving limits.

Answer 1

Question?

Answer 2

\[\lim_{\theta \rightarrow 0}\frac{ \sin \theta }{ \theta+ tan\theta }\]

Answer 3

I would first write in terms of sin and cos

Answer 4

\[\lim_{x \rightarrow 0}\frac{\sin(x)}{x+\frac{\sin(x)}{\cos(x)}}\]
now divide both top and bottom by x so you can use the following
\[\lim_{x \rightarrow 0}\frac{\sin(x)}{x}=1\]

Answer 5

so you multiple by theta-tan?

Answer 6

tan(theta)?
no that will not help us write in terms of sin and cos