Calculus Examples

$lim_{x \to 8} (\frac{177}{4}) x^{- 1}$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $\frac{177}{4}$ outside of the limit because it is constant with respect to $x$ .

$\frac{177}{4} lim_{x \to 8} x^{- 1}$

Step 1.2

Move the exponent $- 1$ from $x^{- 1}$ outside the limit using the Limits Power Rule.

$\frac{177}{4} {(lim_{x \to 8} x)}^{- 1}$

Step 2

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

$\frac{177}{4} \cdot 8^{- 1}$

Step 3

Simplify the answer.

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Step 3.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{177}{4} \cdot \frac{1}{8}$

Step 3.2

Multiply $\frac{177}{4} \cdot \frac{1}{8}$ .

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Step 3.2.1

Multiply $\frac{177}{4}$ by $\frac{1}{8}$ .

$\frac{177}{4 \cdot 8}$

Step 3.2.2

Multiply $4$ by $8$ .

$\frac{177}{32}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{177}{32}$

Decimal Form:

$5.53125$