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Question
Mathematics
The value of displaystyle lim x arrow ∞(x+ex)2 / x is
Q. The value of
x
→
∞
lim
(
x
+
e
x
)
2/
x
is
63
178
Limits and Derivatives
Report Error
A
1
B
e
C
e
2
D
1/
e
Solution:
y
=
x
→
∞
lim
(
x
+
e
x
)
2/
x
(
∞
0
form
)
∴
lo
g
y
=
x
→
∞
lim
2
x
lo
g
(
x
+
e
x
)
(
∞
∞
.
form
)
=
2
⋅
x
→
∞
lim
x
+
e
x
1
+
e
x
(Using L'Hospital's Rule)
=
2
⋅
x
→
∞
lim
1
+
e
x
0
+
e
x
(Using L'Hospital's Rule)
=
2
⋅
x
→
∞
lim
0
+
e
x
e
x
=
2
(Using L'Hospital's Rule)
∴
y
=
e
2