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A function f(x) satisfies the following ...

A function `f(x)` satisfies the following property: `f(xdoty)=f(x)f(y)dot` Show that the function `f(x)` is continuous for all values of `x` if it is continuous at `x=1.`

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  2. Find the points of discontinuity of the function: f(x)=1/(x^2-2|x|+2)

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  3. A function f(x) satisfies the following property: f(xdoty)=f(x)f(y)dot...

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  4. find the value of tan^(-1)(1)+cos^(-1)(1/2)+sin^(-1)(-1/2)

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  5. Find the points of discontinuity of the function: f(x)=1/(x^4+x^2+1)

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  6. Find the points of discontinuity of the function: f(x)=1/(1-e^((x-1)/(...

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  7. Draw the graph and find the points of discontinuity f(x) = [2cos x] , ...

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  8. Find the number of points where f(x)=[x/3],x in [0, 30], is discontinu...

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  10. Discuss the continuity of the function ([.] represents the greatest ...

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  11. Discuss the continuity of the function ([.] represents the greatest ...

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  12. Match the following for the type of discontinuity at x=1 in column II ...

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  15. If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the...

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  16. Draw the graph and discuss the continuity of f (x) = [sin x + cos x], ...

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  17. f is a continous function in [a, b]; g is a continuous function in [b,...

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  18. If the function f(x) defined as f(x) defined as f(x)={3,x=0(1+(a x+b x...

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  19. A twice differentiable function f(x)is defined for all real numbers an...

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  20. If y = y(x) and it follows the relation e^(xy) + y cos x = 2, then fin...

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