Limits, Continuity, Differential Calculus-Limits (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 2 of 2

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Question number: 1

» Limits, Continuity, Differential Calculus » Limits

Appeared in Year: 2013

MCQ▾

Question

Let f:RR be a function such that limxf(x)=M>0 Then which of the following is false?

Choices

Choice (4) Response
a.

limxxsin(1x)f(x)=M

b.

limxsin(f(x))=sinM

c.

limxxsin(ex)f(x)=M

d.

limxsinxxf(x)=0

Question number: 2

» Limits, Continuity, Differential Calculus » Limits

Appeared in Year: 2013

MCQ▾

Question

Let f:RR be a function such that

limx1f(x)=C>0.

Then which of the following is false? (Model Paper)

Choices

Choice (4) Response
a.

limxtanxxf(x)=0

b.

limxsin(ex)xf(x)=C

c.

limx2xf(x)sin(12x)=C

d.

limxtan(1f(x))=tanC

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