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Question

limx0tan2[x][x]2, where [] represents greatest integer function, is?

A
1
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B
1
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C
0
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D
Does not exist
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Solution

The correct option is D 1

First take the Right Hand Limit,

R.H.L.=

R.H.L.=limh0tan2[h][h]2=limh0tan2[0][0]2=00

which is meaningless

Now take, Left Hand Limit

L.H.L.=limh0tan2[h][h]2=limh0tan2[1][1]2=[tan(1)]21

Substitue value of tan(1)

Thus

LHL=(1.557)2=2.424

As RHL does not exist and LHL is not equal to RHL

The given limit does not exist.



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