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If f(x)={2x^2+k\ \ \ \ ,\ \ \ \ if\ xgeq...

If `f(x)={2x^2+k\ \ \ \ ,\ \ \ \ if\ xgeq0 `
`\ \ \ \ \ \ \ \ \ \ \ \ \ \ -2x^2+k\ \ \ \ ,\ \ \ \ if\ x<0` , `
`then what should be the value of `k` so that `f(x)` is continuous at `x=0` .

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RD SHARMA ENGLISH-CONTINUITY-All Questions
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  9. If a function f is defined as f(x)={(|x-4|)/(x-4)\ \ \ ,\ \ \ x!=4 0\ ...

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  11. Discuss the continuity of the function f(x)={(|x|)/x\ \ \ ,\ \ \ if...

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  12. Discuss the continuity of the function f(x) given by f(x)={2x-1,ifx<0...

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  13. Show that the function f defined by f(x)=|1-x+|x|| is everywhere co...

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  16. Determine the value of the constant k so that the function f(x)={k ...

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  19. Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0\ \ \ \ \x+1\ ...

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