Calculus Examples

$lim_{t \to 10000} {(4 e)}^{0.06 t}$

Step 1

Evaluate the limit.

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Step 1.1

Move the limit into the exponent.

${(4 e)}^{lim_{t \to 10000} 0.06 t}$

Step 1.2

Move the term $0.06$ outside of the limit because it is constant with respect to $t$ .

${(4 e)}^{0.06 lim_{t \to 10000} t}$

Step 2

Evaluate the limit of $t$ by plugging in $10000$ for $t$ .

${(4 e)}^{0.06 \cdot 10000}$

Step 3

Simplify the answer.

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Step 3.1

Multiply $0.06$ by $10000$ .

${(4 e)}^{600}$

Step 3.2

Apply the product rule to $4 e$ .

$4^{600} e^{600}$