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For the equation (e ^(-x))/(1+x)= lamda ...

For the equation `(e ^(-x))/(1+x)= lamda` which of the following statement (s) is/are correct ?

A

when `lamda in (0,oo)` equation has 2 real and distinct roots

B

when `lamda in (-oo, -e ^(2))` equation has 2 real anddistinct roots

C

when `lamda in (0,oo)` equatio has 1 real root

D

when `lamda in (-e,0)` equation has no real root

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The correct Answer is:
B, C, D
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