Calculus Examples

$\frac{1000}{(1 + 9 e^{- 0.2 t}) lim_{t \to 8} t}$

Step 1

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

$\frac{1000}{(1 + 9 e^{- 0.2 t}) \cdot 8}$

Step 2

Cancel the common factor of $1000$ and $8$ .

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Step 2.1

Factor $8$ out of $1000$ .

$\frac{8 \cdot 125}{(1 + 9 e^{- 0.2 t}) \cdot 8}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $8$ out of $(1 + 9 e^{- 0.2 t}) \cdot 8$ .

$\frac{8 \cdot 125}{8 \cdot (1 + 9 e^{- 0.2 t})}$

Step 2.2.2

Cancel the common factor.

$\frac{8 \cdot 125}{8 \cdot (1 + 9 e^{- 0.2 t})}$

Step 2.2.3

Rewrite the expression.

$\frac{125}{1 + 9 e^{- 0.2 t}}$