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For the fucntion f(x)=x cos ""1/x, x ge ...

For the fucntion `f(x)=x cos ""1/x, x ge 1 `which one of the following is incorrect ?

A

for at least one x in the interval
`[1,oo), f(x+2)-f(x) lt2`

B

`{:(" "lim),(x rarr oo):} f'(x)=1`

C

for all x in the interval
`[1,oo), f(x+2)-f(x)gt2`

D

`f'(x)` is strictly decreasing in the interval `[1,oo)`

Text Solution

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The correct Answer is:
B, C, D
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