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Question

limxx2+sin2xx+cosx equals

A
1
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B
0
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C
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D
does not exist
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Solution

The correct option is A 1
Given,

limx⎜ ⎜x2+sin2(x)x+cos(x)⎟ ⎟

dividing by highest denominator power

=limx⎜ ⎜ ⎜ ⎜1+sin2(x)x21+cos(x)x⎟ ⎟ ⎟ ⎟

=limx(1+sin2(x)x2)limx(1+cos(x)x)

=1+01+0

=1

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