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lim(x->sqrt10)(sqrt(7+2x)-(sqrt(5)+sqrt(...

`lim_(x->sqrt10)(sqrt(7+2x)-(sqrt(5)+sqrt(2)))/(x^2-10)` is equal to

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`lim_(x->sqrt10)(sqrt(7+2x)-(sqrt(5)+sqrt(2)))/(x^2-10)`

L'Hopital Rule:

`lim_(x rightarrow b) (f(x))/(g(x))=lim_(x rightarrow b) (f'(x))/(g'(x))`

`lim_(x->sqrt10)((2)/(2(sqrt(7+2x))))/(2x)`

`lim_(x->sqrt10)((1)/(1(sqrt(7+2x))))/(2x)`

`=(sqrt(7-2sqrt10))/(6sqrt10)`

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  3. lim(x->sqrt10)(sqrt(7+2x)-(sqrt(5)+sqrt(2)))/(x^2-10) is equal to

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  11. Evaluate the following limit: underset( x rarr 0)((1+x)^6-1)/((1+x)^2-...

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  12. Evaluate the following limit: (lim)(x->a)(x^(5//7)-a^(5//7))/(x^(2//7)...

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  15. Evaluate the following limit: lim(x->a)((x+2)^(3//2)-(a+2)^(3//2))/(x-...

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  16. Evaluate the following limit: lim(x->a)(x^(2//7)-a^(2//7))/(x-a)

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  17. Evaluate the following limit: lim(x->-1//2)(8x^3+1)/(2x+1)

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  18. Evaluate the following limit: lim(x->-1//2)(8x^3+1)/(2x+1)

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  19. Evaluate the following limit: lim(x->4)(x^3-64)/(x^2-16)

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  20. Evaluate the following limit: lim(x->-1)(x^3+1)/(x+1)

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