TS EAMCET · Maths · Limits
be an increasing function such that for all . If then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
f is an increasing function. Given, limx→∞f(9x)f(3x) =1 Consider, 3x<6x<9x ⇒f(3x)<f(6x)<f(9x) ⇒f(3x)f(3x)<f(6x)f(3x)<f(9x)f(3x) Let x→∞ ⇒1<limx→∞f(6x)f(3x)<limx→∞f(9x)f(3x)…
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