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Find the following limits: lim(xrarr1)(I...

Find the following limits: `lim_(xrarr1)(In(2-x))/(1-x^2)`

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`lim_(xrarr1)(In (2-x))/(1-x^2)=1/2lim_(xrarr1)(-1)/((2-x)-2x)=1/2lim_(xrarr1)1/(x(2-x))=1/2`
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MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the following limits: lim(xrarr0) (tanx-sinx)/(x^3)

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  2. Find the following limits: lim(xrarr2)(x^3-12x+16)/(3x^3-8x^2-4x+16)

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  3. Find the following limits: lim(xrarr1)(In(2-x))/(1-x^2)

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  4. Find the following limits: lim(xrarr0+)(sqrt(1-x)-sqrt(1+x))/(sqrtx)

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  5. Find the following limits:lim(xrarr1)(2sqrtx-3 root(3)(x)+1)/((x-1)^2)

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  6. Find the following limits:lim(xrarrinfty)(x^3-3x+1)/(2x^3-7x^2+5)

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  7. Find the following limits:lim(xrarr2)(4^x-2^(3+x)+16)/((x-2)^2)

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  8. Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)

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  9. Find the following limits:lim(xrarr0)(e^x-e^(-x)-2sinx)/(xsinx)

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  10. Find the following limits:lim(xrarrinfty)(In(1/x))/(xe^x)

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

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

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

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  14. Find the following limits:lim(xrarrinfty)(sin^(-1)x)/(x)

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  15. Find the following limits:lim(xrarr0+)logtanx tan2x

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  16. Find the following limits:lim(xrarrpi/2)(tanx)^cosx

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  17. Find the following limits:lim(xrarr1)x^(1/(1-x)

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  18. Find the following limits:lim(xrarr0+)x^(sinx)

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  19. Find the following limits:lim(xrarr1)(1/(x-1)-1/(lnx))

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

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