Even though the limit can be found using the theorem, Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions, use L'Hôpital's rule to find the limit. x² x-5 lim X-5 Apply L'Hôpital's rule so that the lim x²2-25 25 lim X-5 X-5 = lim x→5 ²-25 X-5 X-5 is not an indeterminate form of the type 0 / 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Even though the limit can be found using the theorem, Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions, use L'Hôpital's rule to find the limit.
x²
x-5
lim
X-5
Apply L'Hôpital's rule so that the lim
x²2-25
25
lim
X-5 X-5
= lim
x→5
²-25
X-5 X-5
is not an indeterminate form of the type 0 / 0.
Transcribed Image Text:Even though the limit can be found using the theorem, Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions, use L'Hôpital's rule to find the limit. x² x-5 lim X-5 Apply L'Hôpital's rule so that the lim x²2-25 25 lim X-5 X-5 = lim x→5 ²-25 X-5 X-5 is not an indeterminate form of the type 0 / 0.
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