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Discuss the continuity of the function d...

Discuss the continuity of the function defined by`f(x)={x+2, if x<0-x+2, ifx >0`

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To determine the continuity of the function defined by: \[ f(x) = \begin{cases} x + 2 & \text{if } x < 0 \\ x - 2 & \text{if } x > 0 \end{cases} ...
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NCERT ENGLISH-CONTINUITY AND DIFFERENTIABILITY-SOLVED EXAMPLES
  1. Discuss the continuity of the function f defined byf(x)={x+2ifxlt=1 x-...

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

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

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

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  5. Show that every polynomial function is continuous.

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  6. Discuss the continuity of sine function.

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  7. Prove that every rational function is continuous.

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

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

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

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

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

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

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

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

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

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

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  18. Discuss the continuity of the function f defined by f(x)=1/x , x!=0.

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  19. If y= A sin x+ B cos x, then prove that (d^2y)/(dx^2)+y=0.

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  20. Find (d^2y)/(dx^2), if y=x^3+tanx.

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