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Find the following limits:lim(xrarrinfty...

Find the following limits:`lim_(xrarrinfty)(e^(1/x))^(ln(1+x))`

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  1. Find the following limits:lim(xrarrinfty)(x-sqrt(x^2-1))

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  2. Find the following limits:lim(xrarrinfty)(x-sqrt(x^2+2x))

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  3. Find the following limits:lim(xrarr0)(1/sin^2x-1/x^2)

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  4. Find the following limits:lim(xrarrpi/2)(tan3x-tanx)

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  5. Find the following limits:lim(xrarr0+)sqrt(a^x-b^x)/sqrtx, agtb

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  6. Find the following limits:lim(xrarrinfty)(1+3/x)^x

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  7. Find the following limits:lim(xrarrinfty)(e^(1/x))^(ln(1+x))

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  8. Find the following limits:lim(xrarr0)(sinx/x)^(1/x)

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  9. Find the following limits:lim(xrarr0)(1+x^2)^(1/x)

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  10. Find the following limits:lim(xrarr0)(cotx-cosec x)

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  11. Find the following limits:lim(xrarr1)(2-x)^("cosec"pix)

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  12. Find the following limits:lim(xrarr0)((x^2+2x-1)/(x^2-1))^(1/x)

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  13. Find the following limits:lim(xrarr0)((1+x)^(1/x)-e)/x

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  14. Find the following limits:lim(xrarr0)(tanx)^(1/lnx)

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  15. Find the following limits:lim(xrarr0)(x^3sinfrac{1}{x})/(tanx)

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  16. Find the following limits:lim(xrarr0+)(2^x-1)/(sqrt(1+x)-1)

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  17. Find the following limits:lim(xrarr1)(1-x)tan[(pix)/2]

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  18. Find the following limits:lim(xrarr0)(xcosx-sinx)/(x^2sinx)

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  19. Find the following limits:lim(xrarr0)e^(-1/x^2)/x^2

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  20. Find the following limits:lim(xrarr0)((sinx/x)^(1/x^2)

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