Calculus Examples

$lim_{x \to 0} x^{2} \cos (\frac{5}{2})$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $\cos (\frac{5}{2})$ outside of the limit because it is constant with respect to $x$ .

$\cos (\frac{5}{2}) lim_{x \to 0} x^{2}$

Step 1.2

Move the exponent $2$ from $x^{2}$ outside the limit using the Limits Power Rule.

$\cos (\frac{5}{2}) {(lim_{x \to 0} x)}^{2}$

Step 2

Evaluate the limit of $x$ by plugging in $0$ for $x$ .

$\cos (\frac{5}{2}) \cdot 0^{2}$

Step 3

Simplify the answer.

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Step 3.1

Evaluate $\cos (\frac{5}{2})$ .

$- 0.80114361 \cdot 0^{2}$

Step 3.2

Raising $0$ to any positive power yields $0$ .

$- 0.80114361 \cdot 0$

Step 3.3

Multiply $- 0.80114361$ by $0$ .

$0$