Math  /  Calculus

Question23. [0/1 Points] DETAILS MY NOTES SCALCET9M 2.6.016. PREVIOUS ANSWERS
Find the limit. (If the limit is infinite, enter ' \infty ' or '- \infty ', as appropriate. If the limit does not otherwise exist, enter DNE.) limx(52x+7)\lim _{x \rightarrow \infty}\left(\frac{-5}{2 x+7}\right)
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Studdy Solution
Determine the limit of the rational function:
The expression is 52x+7\frac{-5}{2x + 7}. As x x \rightarrow \infty , the denominator 2x+7 2x + 7 \rightarrow \infty . Therefore, the fraction 52x+7\frac{-5}{2x + 7} approaches 0 because a constant divided by an infinitely large number approaches 0.
Thus, the limit is:
limx(52x+7)=0 \lim _{x \rightarrow \infty}\left(\frac{-5}{2 x+7}\right) = 0
The limit is:
0 \boxed{0}

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