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Find all points of discontinuity of f, where f is defined by`f(x)={{:(2x+3, ifxlt=2), (2x-3, ifx >2):}`

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To find all points of discontinuity of the function \( f(x) \) defined as: \[ f(x) = \begin{cases} 2x + 3 & \text{if } x \leq 2 \\ 2x - 3 & \text{if } x > 2 \end{cases} ...
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NCERT ENGLISH-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Prove that the function f(x)=x^nis continuous at x = n, where n is a ...

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  2. Find all points of discontinuity of f, where f is defined byf(x)={{:(...

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  3. Find all points of discontinuity of f, where f is defined byf(x)={{:(...

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  4. Prove that the function f(x) = 5x-3is continuous at x = 0, at x =-3and...

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  5. Examine the following functions for continuity. (a) f(x)=x-5 (b) f(x...

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  6. Examine the continuity of the function f(x)=2x^2-1at x = 3.

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  7. For what value of lambdais the function defined by f(x)={{:(lambda(x^...

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  8. Show that the function defined by g (x) = x [x] is discontinuous at ...

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  9. Discuss the continuity of the function f, where f is defined byf(x)={...

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  10. Find the relationship between a and b so that the function f defined ...

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  11. Discuss the continuity of the function f, where f is defined byf(x)={...

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  12. Is the function defined by f(x)={{:(x+5, ifxlt=1),(x-5, ifx >1):} a c...

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  13. Find all points of discontinuity of f, where f is defined byf(x)={{:(...

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  14. Find all points of discontinuity of f, where f is defined byf(x)={{:(...

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  15. Find the values of k so that the function f is continuous at the indi...

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

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  17. Find all points of discontinuity of f, wheref(x)={{:((sinx)/x , ifx<0)...

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  18. Discuss the continuity of the cosine, cosecant, secant and cotangent ...

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  19. Discuss the continuity of the following functions: (a) f(x) = sin x + ...

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

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