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Limits Continuity and Differentiability question

2010 · Shift 0 · Q28

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2010 · Shift 0 · Q28

Limits Continuity and Differentiability question

2010 · Shift 0 · Q28

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f:R \to R

be a positive increasing function with

\mathop {\lim }\limits_{x \to \infty } {{f(3x)} \over {f(x)}} = 1

. Then

\mathop {\lim }\limits_{x \to \infty } {{f(2x)} \over {f(x)}} =

A
${2 \over 3}$
B
${3 \over 2}$
C
3
D
1

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