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Find limit underset( x rarr 0) ( "lim") ...

Find limit `underset( x rarr 0) ( "lim") (sqrt(1+x)-1)/x`

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`lim (x->0) (sqrt(1+x)-1)/x`

`lim (x->0) (1+x-1)/(x(sqrt(1+x)+1))`

`lim (x->0) (x)/(x(sqrt(1+x)+1))`

`lim (x->0) (1)/(sqrt(1+x)+1)`

`=(1)/(sqrt(1+0)+1)`

`=(1)/(2)`

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RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(5x-4)...

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

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  3. Find limit underset( x rarr 0) ( "lim") (sqrt(1+x)-1)/x

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

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  5. Evaluate the following limit: underset( x rarr 0) ( "lim")(sqrt(a+x)-s...

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  6. Evaluate the following limit: underset( x rarr 1) ( "lim")(sqrt(5x-4)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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