FunctionHard
Question
Let f: R → R be a positive increasing function with
= 1. Then
=
= 1. Then
= Options
A.

B.

C.3
D.1
Solution
f(x) is a positive increasing function
⇒ 0 < f(x) < f(2x) < f(3x)
⇒ 0 < 1 <
⇒
By sandwich theorem.
⇒
⇒ 0 < f(x) < f(2x) < f(3x)
⇒ 0 < 1 <

⇒

By sandwich theorem.
⇒

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