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Evaluate: =lim(zrarr0) m(5+3x+...+x)/(x^...

Evaluate: `=lim_(zrarr0) m(5+3x+...+x)/(x^(2))`

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`underset(xrarroo)"lim"(1+2+3+.....+x)/(x^(2)) ((oo)/(oo))`
`=underset(xrarroo)"lim"((1)/(2)x(X+1))/(x^(2))`
`=underset(xrarroo)"lim"(1)/(2)(1+(1)/(x))`
`=underset(zrarr0)"lim"(1)/(2)(1+z) ("put" (1)/(x)=z)`
`=(1)/(2)(1+0)=(1)/(2)`.
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NAGEEN PRAKASHAN-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. Evaluate: =lim(zrarr0) m(5+3x+...+x)/(x^(2))

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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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