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Let [] donots the greatest integer funct...

Let [] donots the greatest integer function and `f (x)= [tan ^(2) x],` then

A

`underset(x rarr 0)(lim) f(x)` doesn't exist

B

f(x) is continuous at x = 0

C

f(x) is not differentiable at x = 0

D

`f'(0) = 1`

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The correct Answer is:
B
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. For every pair of continuous function f, g : [0, 1] rarr R such that m...

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  11. If f(x)=x-[x], where [x] is the greatest integer less than or equal to...

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  13. Fill in the blank, in the statement given below. Let f(x) = x|x The ...

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  14. lf is a differentiable function satisfying f(1/n)=0,AA n>=1,n in I, th...

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  15. The domain of the derivative of the function f(x)={{:(tan^(-1)x ,if|x|...

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  16. The left hand derivative of f(x) = [x] sin (pi x)"at x" = k is an inte...

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  17. Which of the following functions is differentiable at x = 0 ?

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  18. For x in R, f(x) =|log(e) 2-sinx| and g(x) = f(f(x)) , then

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  19. If the function g(X) ={{:( ksqrt ( x+1), 0 le x le 3),( mx+2, 3 lt x...

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  20. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

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  21. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

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