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Evaluate the following limits : Lim( x ...

Evaluate the following limits :
`Lim_( x to 0) (e^(ax)-e^(bx))/x `

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The correct Answer is:
`-1/e`
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ICSE-LIMITS -EXERCISE 18(I)
  1. Evaluate the following limits : Lim( x to 2) (e^(x)-e^(2))/(x-2)

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  2. Evaluate the following limits : Lim( x to 1) (e^(x)-e)/(x-1)

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  3. Evaluate the following limits : Lim( x to 0) (e^(ax)-e^(bx))/x

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  4. Evaluate the following limits : Lim(x to 0) (3^(x)-1)/(sqrt(1+x)-1)

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  5. Evaluate the following limits : Lim( x to 1) x^(1/(x-1))

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  6. Evaluate the following limits : Lim (x to 0) (1+sinx)^(cotx)

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  7. Evaluate the following limits : Lim(x to 0) (8^(x)-2^(x))/x

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  8. Evaluate the following limits : Lim(x to 0) (a^(x) - b^(x))/(sin x)

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  9. Evaluate the following limits : Lim( xto 0) (a^(sin x) - 1)/(sin x)

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  10. Evaluate the following limits : Lim(x to 0) (3^(2x)-2^(3x))/x

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  11. Evaluate the following limits : Lim( x to 1) (x-1)/(log(e)x)

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  12. Evaluate the following limits : Lim(x to 0) (e^(x) +e^(-x)-2)/(x^(2))

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  13. Evaluate the following limits : Lim(x to 5) (log x - log 5)/(x-5)

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  14. Evaluate the following limits : Lim(x to 0) (e^(x) -1)/(sqrt(1-cos x)...

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  15. Evaluate the following limits : Lim( n to oo) (1+2/n)^(2n)

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  16. Evaluate the following limits : Lim(x to oo) ((x+6)/(x+1))^(x+4)

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  17. Evaluate the following limits : Lim(x to 0) (1+ax)^(b/x)

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  18. Evaluate the following limits : Lim(x to oo) ((x+6)/(x+1))^(x+4)

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  19. Evaluate the following limits : Lim(x to oo) ((x-1)/(x+1))^(2)

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  20. Evaluate the following limits : Lim( x to 0) ((1+5x^(2))/(1+3x^(2)))^...

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