Calculus Examples

$lim_{t \to 10} 150 {(0.9)}^{t}$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $150$ outside of the limit because it is constant with respect to $t$ .

$150 lim_{t \to 10} {(0.9)}^{t}$

Step 1.2

Move the limit into the exponent.

$150 \cdot {0.9}^{lim_{t \to 10} t}$

Step 2

Evaluate the limit of $t$ by plugging in $10$ for $t$ .

$150 \cdot {0.9}^{10}$

Step 3

Simplify the answer.

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Step 3.1

Raise $0.9$ to the power of $10$ .

$150 \cdot 0.34867844$

Step 3.2

Multiply $150$ by $0.34867844$ .

$52.30176601$