Calculus Examples

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

Step 1

Evaluate the limit.

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Step 1.1

Move the limit into the exponent.

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

Step 1.2

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

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

Step 2

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

$e^{\cos (8)}$

Step 3

Evaluate $\cos (8)$ .

$e^{0.99026806}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$e^{0.99026806}$

Decimal Form:

$2.69195600 \dots$