Calculus Examples

$lim_{x \to 5} 6 x^{2}$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $6$ outside of the limit because it is constant with respect to $x$ .

$6 lim_{x \to 5} x^{2}$

Step 1.2

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

$6 {(lim_{x \to 5} x)}^{2}$

Step 2

Evaluate the limit of $x$ by plugging in $5$ for $x$ .

$6 \cdot 5^{2}$

Step 3

Simplify the answer.

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Step 3.1

Raise $5$ to the power of $2$ .

$6 \cdot 25$

Step 3.2

Multiply $6$ by $25$ .

$150$