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At x = 0 f(x) {:(=cscx,"if "x!=0),(=1,"...

At x = 0 `f(x) {:(=cscx,"if "x!=0),(=1,"if " x=0):}` is

A

continuous

B

discontinuous

C

not defined

D

increasing

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Verified by Experts

The correct Answer is:
b
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
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  2. At x = 0 f(x) {:(=cscx,"if "x!=0),(=1,"if " x=0):} is

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  3. Value of f(0) so that f(x)=(sqrt(2+x)-sqrt2)/x is continuous at x=0 is

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  4. Value of f(-2) so that f(x)= (x^(3)+8)/(x+2) is continuous at x = -2 ...

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  5. Value of f(-2), if f(x) = (x^(3)+8)/(x^(5)+32) is continuous at x = -...

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  6. At x=3, f(x) ={(x^(5)-243",", "if " x ne 3),(x^(3)-27",", "if " x=3):}...

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  7. f(x)=(x sin 6x)/(tan 5x tan 7x) " for " x!=0, is continuous at x = 0 ...

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  10. If f(x) = (x-sin x)/x for x!= 0 , and f(x) = k , for x = 0 is continu...

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  11. Value of f(0) so that f(x) = (cos 2x-1)/(sqrt(x^(2)+1)-1) is continuo...

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  12. Find the value of k, if the functions are continuous at the points giv...

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  13. Value of f(0) so that f(x) = [ ((1+x)^(5))/((1+2x))]^(1//x) is conti...

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  14. Value of f(0) so that f(x) = (log(1+bx)-log(1-ax))/x is continuous at...

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  15. Value of f(0) so that f(x) = (a^(x)-1)/(1-b^(x)) is continuous at x ...

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  16. If f(x) = (a^(mx)-1)/(sinmx) is continuous at x = 0 , then m is

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  17. If f(x) = ((e^(mx)-1)sin mx)/(4x^(2)), x !=0 and f(0) = 9 ,is contin...

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  18. If f(x){:(=4(3^(x))", "," if "x lt0),(=x+2k+2," if " x ge 0):} is con...

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  19. Value of f(2) so that f(x) = (3^(x+2)-81)/(9^(x)-9^(2)) is continuous ...

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  20. f(x) {:(=(x cosx+3tanx)/(x^(2)+sinx), " if "x!=0),(=4," if " x=0):}} ...

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