Calculus Examples

$lim_{x \to \infty} 250 - e^{- x}$

Step 1

Evaluate the limit.

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Step 1.1

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $\infty$ .

$lim_{x \to \infty} 250 - lim_{x \to \infty} e^{- x}$

Step 1.2

Evaluate the limit of $250$ which is constant as $x$ approaches $\infty$ .

$250 - lim_{x \to \infty} e^{- x}$

Step 2

Since the exponent $- x$ approaches $- \infty$ , the quantity $e^{- x}$ approaches $0$ .

$250 - 0$

Step 3

Subtract $0$ from $250$ .

$250$