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If f(x) = sec 2x + cosec 2x, then f(x) i...

If f(x) = sec 2x + cosec 2x, then f(x) is discontinuous at all points in

A

`{npi|n inN|}`

B

`{(2n+1)frac(pi)(4)|n in I}`

C

`{frac(npi)(4), n in I}`

D

All olf these

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The correct Answer is:
D
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Let f(x) be a continuous function defined for 1 le x le 3. If f(x) tak...

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  2. If alpha, beta (alpha < beta) are the points of discontinuity of the f...

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  3. If f(x) = sec 2x + cosec 2x, then f(x) is discontinuous at all points ...

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  4. For a real number y, let [y] denotes the greatest integer less than or...

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  5. If f(x)={(x^3, x gt 0),(0, x=0),(-x^3, x lt0):}

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  6. Let h(x) = min {x, x^2}, x in R then h(x) is

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  7. The set of all points where the functionf(x)= frac(x)(1+|x| is differe...

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  8. Let f(x) = a+ b|x| + c|x|^4 where a, b and continuous are real constan...

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  9. If f(x) = sqrt(1-sqrt1-x^2 , then at x = 0

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  10. If f(x) = 2x + |x-x^2|, - 1 lex le1 then f(x) is

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  11. Let f(x+y) = f(x) . f(y) for all x,y where f(0) ne 0. If f(5) =2 and f...

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  12. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

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  13. The values of constants a and b so as to make the function f(x)={(1/|x...

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  14. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim(x rarr infty)f(x) is

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  15. Number of points at which f(x) = |x^2+x|+|x-1| is non-differentiable i...

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  16. If lim(x rarr 0)(((a-n)nx-tanx)sinnx)/x^2=0, where n is non zero real ...

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  17. lim(x rarrpi/4)(int2^(sec^2x) f(t)dt)/(x^2-pi^2/16)

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  18. The value of lim(x rarr0)(int0^(x^2) cost^2dt)/(x sin x) is

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  19. If f(x)=1/3{f(x+1)+5/(f(x+2)}} and f(x) gt 0 for all x in R, then lim(...

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  20. If phi(x)=lim(nrarrinfty)(x^(2n)f(x)+g(x))/(1+x^(2n)), then

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