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Test the continuity of the following fun...

Test the continuity of the following functions at indicated points :
`f(x) = {{:(x^2 "sin" 1/x"," ,x != 0),(0",", x = 0):}` at `x = 0`

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The correct Answer is:
x=0
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ACCURATE PUBLICATION-CONTINUITY-QUESTIONS CARRYING 4 MARKS
  1. Test the continuity of the following functions at indicated points : ...

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  2. Discuss the continuity of the function (x) at x = 1 if f(x) = {{:((x...

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  3. Discuss the continuity of the function : f(x) = {:{((|x-a|)/(x-a), w...

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  4. Discuss the continuity of f(x) at x = 0 if: f(x) = {:{((sqrt(1+x)-sq...

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  5. Determine the value of constant A so that the function f(x)={((1-cos...

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  6. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0, at x=0 ,f(x)=0 a. ...

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  7. Determine k, so that f(x) = {{:((x^2 - 36)/(x - 6)"," ,"if " x != 6),(...

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  8. (a) Determine the value of k so that the following function f(x) is co...

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  9. Find the value of 'k', for which: f(x) = {:{(sqrt(1+kx)-sqrt(1-kx))/...

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  10. Find the values of k so that the function f is continuous at the indic...

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  11. For what value of 'a' and 'b', the function 'f' defined as: f(x) = {...

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  12. For what value of k is the following function continous at x = 2 ? f...

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  13. If the function defined by : f(x) = {:{(2x-1,x<2),(a,x=2),(x+1,x>2):...

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  14. If f(x)={((x-5)/(|x-5|)+a" , if "xlt5),(a+b" , if "x=5),((x-...

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  15. Find the values of a and b such that the function defined by f(x){(5,"...

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  16. Let f(x) = {((1-cos 4x)/(x^(2))",",x lt 0),(a",",x = 0),((sqrt(x))/(sq...

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

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  18. Find all points of discontinuity of f, where f is defined as follows: ...

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