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The function f(x) = (x^(2)-4)/(sin x-2) ...

The function `f(x) = (x^(2)-4)/(sin x-2)` is

A

continuous for all real values of x

B

discontinuous when x = 2

C

discontinuous when sin x = 2

D

none of these

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-CONTINUITY-Critical Thinking
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  3. If f(y)={(((e^(2y)-1)*siny)/(y^(2)),", for "y ne 0),(4,", for "y=0):}...

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  4. For the function f(x)={((sin^(2)ax)/(x^(2))",","where " x ne 0),(1",",...

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  10. If f(x) {:( =((2^(x)-1)^(2))/(sin x.log(1+x))", if " x != 0 ),(= ...

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  11. If f(x) = (tan(pi/4-x))/(cot2x), x != pi/4, is continuous in (0, pi/2)...

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  13. The function f(x) = (x^(2)-4)/(sin x-2) is

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  14. If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0...

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  15. If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","f...

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  17. If f(x)=(e^(x)+e^(-x)-2)/(x sin x), for x in [(-pi)/(2), (pi)/(2)]-{0}...

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  18. Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)),x!=1,2 6,x=...

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