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Examine the continuity of f(x) ={(1-x,x ...

Examine the continuity of f(x) =`{(1-x,x lt1),(0,x=1),(1+x,x gt1):}`

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To examine the continuity of the function \( f(x) \) defined as: \[ f(x) = \begin{cases} 1 - x & \text{if } x < 1 \\ 0 & \text{if } x = 1 \\ 1 + x & \text{if } x > 1 ...
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MAHAVEER PUBLICATION-CONTINUITY OF A FUNCTION-QUESTION BANK
  1. Check the continuity of the function f given by f(x) = x^2 at x = 0

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  2. Check the continuity of the function f given by f(x) = |x|at x = 0

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  3. Check the continuity of the function f at x = 0 given by f(x) = {(2x ...

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  4. Discuss the continuity of f(x) = {(x+2, x le 1),(x-2, x gt1):} at x=...

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  5. Examine the continuity of f(x) = |x-a| at x =a

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  6. Examine the continuity of f(x) = {((sinx)/x,x ne 0),(1,x = 0):} at x =...

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  7. Discuss the continuity of the function : f(x)={{:((|x-a|)/(x-a)",whe...

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  8. Find the correct alternative from the following : At x =3, the funct...

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  9. Let f be the function defined by f(x) = {((x^2-4)/(x-2),x ne 2), (1, x...

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  10. Let f is defined by the following function f(x) = {(sinx, x lt 0), (...

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  11. At x =1, the function given by f(x) = {(x,x lt 1),(2x-1,x ge1):} is ...

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  12. At x =1, the function given by f(x) = {(sinx,x lt 0),(2x,x ge 0):} is ...

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  13. Examine the continuity of f(x) ={(|x-2|/(x-2), x ne 2),(1, x =2):} at ...

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  14. Examine the continuity of f(x) ={((sin2x)/(2x), x ne 0),(2, x = 0):} a...

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  15. Examine the continuity of f(x) ={(|x-1|/(x-1), x ne 1),(0, x =1):} at ...

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  16. Examine the continuity of f(x) ={(2x+1,x le 0),(1-3x,x gt 0):} is cont...

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  17. Examine the continuity of f(x) ={((|x^3-8|/(x^2-4), x ne 2),(3, x= 2))...

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  18. Examine the continuity of f(x) ={(1-x,x lt1),(0,x=1),(1+x,x gt1):}

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  19. Examine the continuity of the following function at x = 1 f(x) ={(x+...

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  20. Draw the graph of f(x) if f(x) = {(x-2,xlt0),(x,0lt=x):} Is it a c...

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