Calculus Examples

$\frac{lim_{t \to 9} 9 - t}{3 - \sqrt{t}}$

Step 1

Split the limit using the Sum of Limits Rule on the limit as $t$ approaches $9$ .

$\frac{lim_{t \to 9} 9 - lim_{t \to 9} t}{3 - \sqrt{t}}$

Step 2

Evaluate the limit of $9$ which is constant as $t$ approaches $9$ .

$\frac{9 - lim_{t \to 9} t}{3 - \sqrt{t}}$

Step 3

Simplify terms.

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Step 3.1

Evaluate the limit of $t$ by plugging in $9$ for $t$ .

$\frac{9 - 9}{3 - \sqrt{t}}$

Step 3.2

Simplify the answer.

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Step 3.2.1

Subtract $9$ from $9$ .

$\frac{0}{3 - \sqrt{t}}$

Step 3.2.2

Divide $0$ by $3 - \sqrt{t}$ .

$0$