Calculus Examples

$\frac{lim_{x \to 8} \sin (x)}{e^{x} + \cos (x)}$

Step 1

Move the limit inside the trig function because sine is continuous.

$\frac{\sin (lim_{x \to 8} x)}{e^{x} + \cos (x)}$

Step 2

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$\frac{\sin (8)}{e^{x} + \cos (x)}$

Step 3

Evaluate $\sin (8)$ .

$\frac{0.1391731}{e^{x} + \cos (x)}$