Evaluate the following limit. lim 3 sin t lim t→0 t t e2t -2t-1 7t 7t 7 cos t+ 1² 71² 2 7 cos t+ 1100 3 sin t e²t - 21-1 2 -j+ (Simplify your answers. Type exact answers.) 7 -7 k -k = + - Oj+k

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate the following limit.
lim
t→0
3 sin t
t
3 sin t
lim
t→0 t
e2t
-2t-1
7t
7 cos t+
-j+
7 cos t+
1²
71²
2
e²t - 21-1
7t
1²
(Simplify your answers. Type exact answers.)
71²
2
-7
7
k
-k =
+Oj+k
i +
Transcribed Image Text:Evaluate the following limit. lim t→0 3 sin t t 3 sin t lim t→0 t e2t -2t-1 7t 7 cos t+ -j+ 7 cos t+ 1² 71² 2 e²t - 21-1 7t 1² (Simplify your answers. Type exact answers.) 71² 2 -7 7 k -k = +Oj+k i +
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