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

For the function `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)le2`

B

`underset(hto oo)("lim") f'(x) =1`

C

for all x in the interval `[1,oo) , f(x+2) -f(x) ge2`

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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