Question
(b) \( \lim _{x \rightarrow-\infty} \frac{8}{e^{x}+8}= \) [NOTE: If needed, enter INF for \( \infty \) and MINF for \( -\infty \).]
Ask by Luna Ingram. in the United States
Jan 19,2025
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Answer
The limit is 1.
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As \( x \) approaches \( -\infty \), the expression \( e^{x} \) approaches \( 0 \). Thus, the limit simplifies to: \[ \lim_{x \rightarrow -\infty} \frac{8}{e^{x} + 8} = \frac{8}{0 + 8} = 1 \] So, the answer is \( 1 \).