Calculus Examples

$lim_{x \to π} \cos (x + 2)$

Step 1

Evaluate the limit.

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Step 1.1

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

$\cos (lim_{x \to π} x + 2)$

Step 1.2

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $π$ .

$\cos (lim_{x \to π} x + lim_{x \to π} 2)$

Step 1.3

Evaluate the limit of $2$ which is constant as $x$ approaches $π$ .

$\cos (lim_{x \to π} x + 2)$

Step 2

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

$\cos (π + 2)$

Step 3

Evaluate $\cos (π + 2)$ .

$0.41614683$