Let f: R → R be a continuous function defined by f(x) = 1/ex + 2e-x
Statement-1: f(c) = 1/3, for some c ∈ R.
Statement-2: 0 < f(x) ≤ 1/2√2, for all x ∈ R
(1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1
(2) Statement-1 is true, Statement-2 is false
(3) Statement-1 is false, Statement-2 is true
(4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1
