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The function f(x)=cosec x is...

The function f(x)=cosec x is

A

continuous for all values of x

B

discontinuous everywhere

C

continuous for all x except at `x=npi`, where n is an integer

D

continuous for all x except at `x=npi//2`, where n is an integer

Text Solution

Verified by Experts

The correct Answer is:
C
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NDA PREVIOUS YEARS-FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY-MCQs
  1. Consider the following statements 1. Every function has a primitive ...

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  2. The function f(x)=(x)/(x^(2)+1) from R to R is

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  3. The function f(x)=cosec x is

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  4. Consider the following statements: I. f(x)=|x-3| is continuous at x=...

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  5. Consider the function f:Rto{0,1} such that f(x)={{:(1","if ,x" is ra...

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  6. What is the value of lim(xto0) (cos(ax)-cos(bx))/(x^(2))

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  7. If f(x)=2x+7andg(x)=x^(2)+7,x""inR, then what are values of x for whic...

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  8. What is lim(xto0) (a^(x)-b^(x))/(x) equal to?

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  9. If the function f(x)=(x(x-2))/(x^(2)-4),xnepm2 is continuous at x=...

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  10. At how many points is the fucntion f(x)=[x] discontinuous?

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  11. If f(x)=(2)/(3)x+(3)/(2),x""inR, then what is f^(-1)(x) equal to ?

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  12. What is lim(xtooo) (sqrt(a^(2)x^(2)ax+1)sqrt(a^(2)x^(2)+1)) equal to?

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  13. What is the value of k for which the following fucntion f(x) is contin...

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  14. Which one of the following is correct in respect of the function f(x)=...

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  15. Consider the following statements: I. f(x)=|x-3| is continuous at x=...

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  16. What is lim(xto0) x^(2)sin((1)/(x)) equal to?

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  17. What is lim(xto-2)((1+2)/(x^(3)+8))

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  18. If f(x)f[xy]=f[x]f[y] then f[t] may be of the form:

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  19. Which one of the following functions is differentiable for all real va...

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  20. What is lim(xto0) (sqrt(1+x-1))/(x)

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