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Evaluate the following limit: underset( ...

Evaluate the following limit: `underset( x rarr 2) ( "lim")(x-2)/(sqrt(x)-sqrt(2))`

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`(lim)_(x->2) (x-2)/(sqrt(x)-sqrt(2))`

`(lim)_(x->2) ((sqrt(x)-sqrt(2))(sqrt(x)+sqrt(2)))/(sqrt(x)-sqrt(2))`

`(lim)_(x->2) sqrt(x)+sqrt(2)`

`=sqrt(2)+sqrt(2)=2sqrt(2)`

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RD SHARMA-LIMITS-All Questions
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  6. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(3+x)-s...

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  7. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(1+x^2)...

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  8. Evaluate the following limit: underset( x rarr 4) ( "lim")(2-sqrt(x))/...

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  9. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(1+3x)-...

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  10. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(3+x)-s...

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

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  12. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(1+x+x^...

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  13. Evaluate the following limit: underset( x rarr a) ( "lim")(x-a)/(sqrt(...

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  14. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(2-x)-s...

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  15. Evaluate the following limit: underset( x rarr 1) ( "lim")((2x-3)(sqr...

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  16. Evaluate:underset( x rarr 2) ( "lim") (x-2)/(root(3)(x)-root(3)(33))

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  17. If underset( x rarr - a) ( "lim")(x^9+a^9)/(x+a)=9,\ find the real va...

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  18. Evaluate the following limit: underset( x rarr a) ( "lim")((x+2)^(5//2...

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

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

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