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Evaluate the following limit : lim(x r...

Evaluate the following limit :
`lim_(x rarr 0) (2^x-1)/x` .

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Evaluate the following limit : lim(x rarr 0) (e^(4x)-1)/x .

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  2. Evaluate the following limit : lim(x rarr 0) (e^(3x)-1)/x .

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  3. Evaluate the following limit : lim(x rarr 0) (2^x-1)/x .

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  4. Evaluate the following limit : lim(x rarr 0) (3^(2+x)-9)/x .

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  5. Evaluate the following limit : lim(x rarr 0) (e^(2+x)-e^2)/x .

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  6. Evaluate the following limit : lim(x rarr 0) (e^x-x-1)/x.

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  7. Evaluate the following limit : lim(x rarr 0) (e^x-sinx-1)/x .

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  8. Evaluate the following limit : lim(x rarr 0) (e^(3+x)-sinx-e^3)/x .

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  9. Evaluate the following limit : lim(x rarr 0) (e^x-e^(sinx))/(x-sinx)...

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  10. Evaluate the following limit : lim(x rarr 5) (e^x-e^5)/(x-5) .

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  11. Evaluate the following limit : lim(x rarr 2) (e^x-e^2)/(x-2) .

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  12. Evaluate the following limit : lim(x rarr 3) (e^x-e^3)/(x-3) .

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  13. Evaluate the following limit : lim(x rarr 0)(a^x-b^x)/x (a>0, b>0) .

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  14. Evaluate the following limit : lim(x rarr 0)(a^x-a^(-x))/x .

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  15. Evaluate the following limit : lim(x rarr 0) (e^x-e^(-x)) .

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  16. Evaluate the following limit : lim(x rarr 0) (e^x-e^(-x))/x .

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  17. Evaluate the following limit : lim(x rarr 1) (e^(-x)-e^(-1))/(x-1) .

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  18. Evaluate the following limit : lim(x rarr 1) (e^(x)-e^(-x))/(e^(x)+ ...

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  19. Evaluate the following limit : lim(x rarr 0) (e^(x)-e^(-x))/(sinx) .

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  20. Evaluate the following limit : lim(x rarr 0) (e^(bx)-e^(ax))/(x) , .

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