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Statement-1: The fucntion x^(2)(e^(x)+e^...

Statement-1: The fucntion `x^(2)(e^(x)+e^(-x))` is increasing for all `x gt 0`.
Statement-2 : The function `x^(2)e^(x) and x^(2)e^(-x)` are increasing for all `x gt 0` and the sum of two increasing functions in any interval (a,b) is an increasing function in (a,b)

A

Statement-1 is false and the Statement-2 is true

B

Statement-1 is true, Statement-2 is true and the Statement 2 is not the correct explanation of the Statement 1.

C

Statement-I is true and the Satement-2 is false

D

Statement-1 is true, Statement -2 is true and the Statement 2 is true explanation of the Statement 1.

Text Solution

Verified by Experts

The correct Answer is:
C
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