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Find all points of discontinuity of f, w...

Find all points of discontinuity of f, where f is defined by`f(x)={{:(|x|+3, ifxlt=-3),(-2x , if -3 < x <3),( 6x+2,ifxgeq3):}`

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To find all points of discontinuity of the function \( f(x) \) defined as: \[ f(x) = \begin{cases} |x| + 3 & \text{if } x \leq -3 \\ -2x & \text{if } -3 < x < 3 \\ 6x + 2 & \text{if } x \geq 3 ...
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NCERT-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Is the function f defined byf(x)={{:(x , ifxlt=1),( 5, ifx >1):}conti...

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  2. Prove that the function f(x)=x^nis continuous at x = n, where n is a ...

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

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

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

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

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

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  8. For what value of lambda is the function defined by f(x)={{:(lambda(x...

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

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

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

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

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

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

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

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

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

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

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

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