3 5. lim x5+lnx x→0+

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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e. Find the limits of functions by using L’Hospital's rule:
х-а
1. lim arcsin
- ctg(x — а)
x→a
а
п-2arctgx
2. lim
x→+∞
e1/x-1
Inx
3. lim
x→0+ ctgx
4. lim sin(x – 1) tg
x→1
2
3
5. lim x5+Inx
x→0+
Transcribed Image Text:e. Find the limits of functions by using L’Hospital's rule: х-а 1. lim arcsin - ctg(x — а) x→a а п-2arctgx 2. lim x→+∞ e1/x-1 Inx 3. lim x→0+ ctgx 4. lim sin(x – 1) tg x→1 2 3 5. lim x5+Inx x→0+
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