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Find all the points of discontinuity of the function f defined by`f(x)={x+2, ifx<1 0ifx=1x-2ifx >1`

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To find the points of discontinuity of the function defined by: \[ f(x) = \begin{cases} x + 2 & \text{if } x < 1 \\ 0 & \text{if } x = 1 \\ x - 2 & \text{if } x > 1 ...
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NCERT ENGLISH-CONTINUITY AND DIFFERENTIABILITY-SOLVED EXAMPLES
  1. If y=3e^(2x)+2e^(3x). Prove that (d^2y)/(dx^2)-5(dy)/(dx)+6y=0.

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  2. If y=sin^(-1)x, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0.

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  3. Find all the points of discontinuity of the function f defined byf(x)...

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  4. Discuss the continuity of the function f defined byf(x)={x+2ifxlt=1 x-...

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  5. Discuss the continuity of the function f given by f(x)={(x , ifxgeq0),...

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  6. Discuss the continuity of the function defined byf(x)={x+2, if x<0-x+2...

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  7. Find all the points of discontinuity of the greatest integer function...

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  8. Show that every polynomial function is continuous.

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  9. Discuss the continuity of sine function.

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  10. Prove that every rational function is continuous.

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  11. Show that the function defined by f(x) = sin(x^2)is a continuous func...

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  12. Prove that the function defined by f(x) = t a n xis a continuous func...

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  13. Examine whether the function f given by f(x)=x^2is continuous at x = ...

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  14. Discuss the continuity of the function f given by f(x) = |x| a t x = 0...

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  15. Check the continuity of the function f given by f(x) = 2x + 3 a t x =...

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  16. Prove that the identity function on real numbers given by f(x) = xis ...

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  17. Is the function defined by f(x) = |x|, a continuous function?

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  18. Show that the function f given by f(x)={x^3+3ifx!=0 1ifx=0is not co...

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  19. Check the points where the constant function f(x) = k is continuous.

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  20. Discuss the continuity of the function/given by f(x)=x^3+x^2-1.

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