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Evaluate the following limits: Show t...

Evaluate the following limits:
Show that `lim_(x to 0)((1)/(x^(2))-(1)/(sin^(2)x))=(-1)/(3)`

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AAKASH SERIES-LIMITS-ADDITIONL EXERCISE
  1. Evaluate the following limits: lim(x to0) (1+x)^(3//x)

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  2. Evaluate the following limits: lim(x to0) (1+3x)^(4//x)

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  3. Evaluate the following limits: lim(x to oo) (1+(2)/(x))^(3x)

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  4. Evaluate the following limits: lim(x to 0)(cos x+sinx)^(1//x)

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  5. Evaluate the following limits: lim(x to0)((1+tanx)/(1+sinx))^("cosec...

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  6. underset(x to oo)"Lt" ((x+6)/(x+1))^(x+4)=

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  7. Evaluate the following limits : Lt(xto7/2)(2x^(2)-9x+8)^(cot(2x-7))

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  8. Evaluate the following limits: lim(x to oo )((x^(2)+2x+3)/(2x^(2)+x+...

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  9. Evaluate the following limits: lim(x to oo) ((1^(x)+2^(x)+....+n^(x)...

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  10. Evaluate the following limits: lim(x to0) (tanx-x)/(x^(3))

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  11. Evaluate the following limits: lim(x to 0)(sin^(-1)x-tan^(-1)x)/(x^(...

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  12. Evaluate the following limits: lim(x to 0)((1+x)^(1//x)-e)/(x)

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  13. Evaluate the following limits: lim(x to 0)((1+x)^(1//x)-e+(ex)/(2))/...

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  14. Evaluate the following limits: Show that lim(x to 0) ([1^(2)x][2^(2...

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  15. Evaluate the following limits: Show that lim(x to 0) ((sinx)/(x))^(...

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  16. Evaluate the following limits: Show that lim(x to0) ((tanx)/(x))^(1...

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  17. Evaluate the following limits: Show that lim(x to 0)((1)/(x^(2))-(...

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  18. Evaluate the following limits: Show that lim(x to0) ((1)/(x)-(1)/(e...

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  19. Find Lt(xtoa)(log(x-a))/(log(e^(x)-e^(a)))

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  20. Evaluate the following limits: Find lim(x to 0)loga(tanxx)(tan2x)

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