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Is the function f defined by f(x)={(x","...

Is the function f defined by `f(x)={(x","ifxle1),(5"," ifx>1):}` continuous at x=1?

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`f(x)={(x,ifxle1),(5, ifx>1):}}` For `xle1,f(x)=x,` which is a polynomial function and therefore f(x) is continuous. In particular f(x) is continuous at x=0.
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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  2. Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continu...

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  3. Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continu...

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  4. Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continu...

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  5. Find all points of discontinuity of f where f is defined by f(x)={(2x+...

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  6. Find all points of discontinuity of f, where f is defined by f(x)={(|...

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  7. Evalute lim(xrarr0)f(x) , where f(x)={(absx/x, x ne 0),(0,x=0):}

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  8. Find all points of discontinuity of f, where f is defined by f(x)={(x/...

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  9. Find all points of discontinuity of f, where f is defined by f(x)={(x+...

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  10. Is the function defined by f(x)={(x+5","ifxle1),(x-5","ifxgt1):} a con...

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  11. Find the relation between 'a' and 'b' if the function f defined by f...

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  12. Is the function defined by f(x)=x^2-sinx+5 continuous at x=pi?

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  13. Discuss the continuity of the following functions: f(x)=sinx+cosx

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  14. Discuss the continuity of the following functions: f(x)=sinx-cosx

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  15. Discuss the continuity of the following functions: f(x)=sinx.cosx

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  16. Find the values of k so that function f is continuous at the indicated...

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

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  18. Prove that the function defined by f(x)= cosx^2 is a continuous f...

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  19. Show that the function f(x)=|cosx| is a continuous function.

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  20. Find all the points of discontinuity of f defined by f(x)=|x|-|x+1|

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