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For the function f(x)={((sin^(2)ax)/(x^(...

For the function `f(x)={((sin^(2)ax)/(x^(2))",","where " x ne 0),(1",", "when " x =0):}` which one is a true statement

A

f(x) is continuous at x = 0, when `a != +- 1`

B

f(x) is discontinuous at x = 0, when `a != +- 1`

C

`lim_(x to 0)f(x) = a`

D

`lim_(x to 0)f(x) = a^(3)`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-CONTINUITY-Critical Thinking
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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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