1 1 4. lim X→0 In(1+x) Arctanx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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INDETERMINATE FORMS

Answer #4 only.

4
1. lim
X→0 x2
1-cosx
sec2x-2tanх
2.
lim
X→T/4
1+cos4x
x²+3
3. lim
1
4. lim
X→0 In(1+x)
1
Arctanx
1
5. lim
X→0 xsinx
1
x2
пу-1
6. lim
у>0 2у2
+
У(е2пу—1)
sin2x(1-сos2x)
7. lim
X→0 (Arcsinx)-sinx
xsinx
8. lim
х>о ех+е-х—2сosx
9. lim(1+ sin?x)x
X→0
Transcribed Image Text:4 1. lim X→0 x2 1-cosx sec2x-2tanх 2. lim X→T/4 1+cos4x x²+3 3. lim 1 4. lim X→0 In(1+x) 1 Arctanx 1 5. lim X→0 xsinx 1 x2 пу-1 6. lim у>0 2у2 + У(е2пу—1) sin2x(1-сos2x) 7. lim X→0 (Arcsinx)-sinx xsinx 8. lim х>о ех+е-х—2сosx 9. lim(1+ sin?x)x X→0
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