sin 3x (a) lim x-0 x (b) lim sin² 5x x-0 x2 tan? x (c) lim x-0 x2 cos? x – 1 (d) lim cos27 x – 1 (e) lim x-0 cos2 x – 1 (f) lim x-0 x2 x2 cos8 x - 1 (g) lim x2 cos7 x -cos 15x (h) lim cos4 x -cos 2x x2 (i) lim x→0 x2

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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How to solve the c,d,i problems in the attachment..Need clear steps without useing L hospital principle please.

Thank You.

sin 3x
(a) lim
x-0 x
(b) lim sin² 5x
x-0 x2
tan? x
(c) lim
x-0 x2
cos? x – 1
(d) lim
cos27 x – 1
(e) lim
x-0
cos2 x – 1
(f) lim
x-0
x2
x2
cos8 x - 1
(g) lim
x2
cos7 x -cos 15x
(h) lim
cos4 x -cos 2x
x2
(i) lim
x→0
x2
Transcribed Image Text:sin 3x (a) lim x-0 x (b) lim sin² 5x x-0 x2 tan? x (c) lim x-0 x2 cos? x – 1 (d) lim cos27 x – 1 (e) lim x-0 cos2 x – 1 (f) lim x-0 x2 x2 cos8 x - 1 (g) lim x2 cos7 x -cos 15x (h) lim cos4 x -cos 2x x2 (i) lim x→0 x2
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