`lim_(x->0) (x + sin(x))/(x + cos(x))` Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule...

`lim_(x->0) (x + sin(x))/(x + cos(x))` Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why.

Expert Answers
gsarora17 eNotes educator| Certified Educator

`lim_(x->0)(x+sin(x))/(x+cos(x))`

plug in the value,

`=(0+sin(0))/(0+cos(0))`

`=(0+0)/(0+1)`

`=0/1`

=0