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undersetlim(Xrarr2^(+)) {x}(sin(x-2))/((...

`undersetlim_(Xrarr2^(+)) {x}(sin(x-2))/((x-2)^(2))=` (where `{.}` denotes the fractional part function)

A

0

B

2

C

1

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
C
`underset(xrarr2^(+))(lim)(sin(x-2))/((x-2)^(2))`
`" "=underset(xrarr2^(+))(lim)({x})/((x-2))(sin(s-2))/((x-2))`
`" "=underset(xrarr2^(+))(lim)(x-[x])/(x-2)=underset(xrarr2^(+))(lim)(x-2)/(x-2)=1`
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CENGAGE-LIMITS-Single Correct Answer Type
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  14. If k in I such that lim(nrarroo) (cos.(kpi)/(4))^(2n)-(cos.(kpi)/(6))^...

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