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Byju's Answer
Standard XII
Mathematics
Law of Reciprocal
Let the equat...
Question
Let the equation
e
−
x
+
2
=
k
,
k
∈
Z
has atleast one real solution in
R
, then minimum value of
k
is
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Solution
Let
f
(
x
)
=
e
−
x
+
2
∈
(
2
,
∞
)
and continuous in
R
.
According to
I
.
V
.
T
.
There exists atleast one real solution of
f
(
x
)
=
k
,
k
∈
(
2
,
∞
)
∴
k
min
=
3
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2
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