Calculus Examples

$lim_{x \to - 4} {(x + 3)}^{1998}$

Step 1

Evaluate the limit.

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Step 1.1

Move the exponent $1998$ from ${(x + 3)}^{1998}$ outside the limit using the Limits Power Rule.

${(lim_{x \to - 4} x + 3)}^{1998}$

Step 1.2

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $- 4$ .

${(lim_{x \to - 4} x + lim_{x \to - 4} 3)}^{1998}$

Step 1.3

Evaluate the limit of $3$ which is constant as $x$ approaches $- 4$ .

${(lim_{x \to - 4} x + 3)}^{1998}$

Step 2

Evaluate the limit of $x$ by plugging in $- 4$ for $x$ .

${(- 4 + 3)}^{1998}$

Step 3

Simplify the answer.

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Step 3.1

Add $- 4$ and $3$ .

${(- 1)}^{1998}$

Step 3.2

Raise $- 1$ to the power of $1998$ .

$1$