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

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

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

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

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

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

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

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

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

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  8. Evaluate the following limit : lim(x rarr 1)(logx)/(x-1) .

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  9. Evaluate the following limit : lim(x rarr 1)(x-1)/(logx) .

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

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

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  12. Evaluate the following limit : lim(x rarr 3)(logx-log3)/(x-3) .

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  13. Evaluate the following limit : lim(x rarr 0)(log(3+x)-log(3-x))/x .

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  14. Evaluate the following limit : lim(x rarr oo)(sin(a/2^x))/(sin (b/2^...

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  15. Evaluate the following limit : lim(x rarr 0)[1/x-(log(1+x))/x^2] .

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  16. Evaluate the following limit : lim(x rarr 2)(3^x+3^(3-x) - 12)/(3^(3...

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

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

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

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

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