1.
is
The value of the limit lim (cot x – 5)
5) is
lim (cot x -) ன் மதிப்பு
(1) 0
(2)
1
(3)
(4)
co
N
The maximum value of the function r2e-2x x > 0
is
Answers
Answered by
2
Step-by-step explanation:
0
x→0
lim
[
x
a
−cot
a
x
]
⇒
x→0
lim
⎣
⎢
⎡
x
a
−
tan
a
x
1
⎦
⎥
⎤
⇒
x→0
lim
⎣
⎢
⎡
xtan
a
x
atan
a
x
−x
⎦
⎥
⎤
By using L' Hospital Rule,
⇒
x→0
lim
⎣
⎢
⎢
⎡
xsec
2
a
x
.
a
1
+tan
a
x
asec
2
a
x
.
a
1
−1
⎦
⎥
⎥
⎤
⇒
x→0
lim
⎣
⎢
⎡
a
x
sec
2
a
x
+tan
a
x
sec
2
a
x
−1
⎦
⎥
⎤
⇒
x→0
lim
⎣
⎢
⎡
a
x
sec
2
a
x
+tan
a
x
tan
2
a
x
⎦
⎥
⎤
Substituting x=0
⇒
⎣
⎢
⎢
⎡
a
0
sec
2
a
0
+tan
a
0
tan
2
a
0
⎦
⎥
⎥
⎤
⇒
0
0
⇒ 0
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