Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work, find the limit in some other way. In(x²) (a) limx→11- e-ex² (b) limx→0 x-x². x² +sin x (c) limx→∞ x² (d) limx→0+ (x¹/lnx). (e) limx→∞ /9x+1 x+1

Advanced Engineering Mathematics
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Just solve d and e. Thanks.

Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work, find the limit
in some other way.
In (x²)
(a) limx→1 1-x
2
(b) limx→0 x-x²
(c) limx→∞
x² +sin x
x2
(d) limx→0+ (x¹/ln x).
√9x+1
(e) limx→ +1
Transcribed Image Text:Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work, find the limit in some other way. In (x²) (a) limx→1 1-x 2 (b) limx→0 x-x² (c) limx→∞ x² +sin x x2 (d) limx→0+ (x¹/ln x). √9x+1 (e) limx→ +1
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