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Let f : R rarr R be a continuous functio...

Let `f : R rarr R` be a continuous function defined by `f(x) = (1)/(e^(x) + 2e^(-x))`.
Statement 1 : f(c) = 1/3, for some `c in R`.
Statement 2 : `0 lt f(x) le 1//(2 sqrt(2))`, for all `x in R`.

A

Statement 1 is false, statement 2 is true

B

Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1.

C

Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 1.

D

Statement 1 is true, statement 2 is false.

Text Solution

Verified by Experts

The correct Answer is:
B
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