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The function f(x), for which f(x)={x^(2)...

The function f(x), for which `f(x)={x^(2),xne1 2, x=1}`
Show that:
`lim_(x to 1) f(x)=1`

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AI Generated Solution

To show that \(\lim_{x \to 1} f(x) = 1\) for the function defined as: \[ f(x) = \begin{cases} x^2 & \text{if } x \neq 1 \\ 2 & \text{if } x = 1 \end{cases} ...
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NAGEEN PRAKASHAN ENGLISH-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. The function f(x), for which f(x)={x^(2),xne1 2, x=1} Show that: l...

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  2. Find the derivative of the following functions from first principles:...

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  3. Find the derivative of the following functions (it is to be understand...

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  4. Find the derivative of the following functions (it is to be understand...

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  5. Find the derivative of the following functions (it is to be understand...

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  6. Find the derivative of the following functions (it is to be understand...

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  7. Find the derivative of the following functions (it is to be understand...

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  8. Find the derivative of the following functions (it is to be understand...

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  9. Find the derivative of the following functions (it is to be understand...

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  10. Find the derivative of the following functions (it is to be understand...

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  11. Find the derivative of the following functions (it is to be understand...

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  12. Find the derivative of the following functions (it is to be understand...

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  13. Find the derivative of the following functions (it is to be understand...

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  14. Find the derivative of the following functions (it is to be understand...

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  15. Find the derivative of the following functions (it is to be understand...

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  16. Find the derivative of the following functions (it is to be understand...

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  17. Find the derivative of the following functions (it is to be understand...

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  18. Find the derivative of the following functions (it is to be understand...

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  19. Find the derivative of the following functions (it is to be understand...

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  20. Find the derivative of the following functions (it is to be understand...

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  21. Find the derivative of the following functions (it is to be understand...

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