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Find the value of the constant k so that...

Find the value of the constant `k` so that the function `f` , defined below, is continuous at `x=0` , where `f(x)={((1-cos4x)/(8x^2))k"if"x!="if"x=0`

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The correct Answer is:
`k=1`
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OSWAAL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-CONTINUITY ( LONG ANSWER TYPE QUESTIONS-I)
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  4. Let : f(x) {:(=(1-cos 4x)/(x^(2))", ... "x lt 0 ),(= a", ...

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  5. If f(x)={{:(1" if "x le 3),(ax+b" if "3 lt x lt 5),(7" if "x ge 5):} ...

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  9. If f(x) {:(=x^(2)+ax+b", if "0 le x lt 2 ),(= 3x+2", i...

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  11. Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \...

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  12. Find the value of ' a^(prime) for which the function f defined by f(x)...

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  13. Find all the points for discontinuity of the function f(x) =[x^2] on [...

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  14. f(x)={{:(|x|+3, if x le -3),(-2x, if -3 lt x lt 3 ),(6x + 2, if x ge3)...

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  15. For what value of k is the function defined by f(x)={{:(k(x^(2)+2)," i...

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  17. Find the values of k so that the function f is continuous at the in...

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