JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

For the function

f(x)=x \cos \frac{1}{x}, x \geq 1

, which one of the following is incorrect?

View answer and explanation

Correct option: A

For at least one

x

in the interval

[1, \infty), f(x+2)-f(x) < 2

The correct answer is A (For at least one

x

in the interval

[1, \infty), f(x+2)-f(x) < 2

) because

f(x+2) - f(x) > 2

for all

x

in the interval, making the statement that it's less than 2 for at least one x incorrect.

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