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Evaluate the following limit: (lim)(x->0...

Evaluate the following limit: `(lim)_(x->0)(sqrt(1+x^2)-sqrt(1-x^2))/x`

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RD SHARMA ENGLISH-LIMITS-All Questions
  1. Evaluate the following limit: (lim)(x->1)(sqrt(5x-4)-sqrt(x))/(x^3-1)

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  2. Evaluate the following limit: (lim)(x->1)(sqrt(3+x)-sqrt(5-x))/(x^2-1)

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  3. Evaluate the following limit: (lim)(x->0)(sqrt(1+x^2)-sqrt(1-x^2))/x

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  4. Evaluate the following limit: (lim)(x->4)(2-sqrt(x))/(4-x)

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  5. Evaluate the following limit: (lim)(x->0)(sqrt(1+3x)-sqrt(1-3x))/(x^2-...

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  6. Evaluate the following limit: (lim)(x->1)(sqrt(3+x)-sqrt(5-x))/(x^2-1)

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

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  8. Evaluate the following limit: (lim)(x->0)(sqrt(1+x+x^2)-sqrt(x+1))/(2x...

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  9. Evaluate the following limit: (lim)(x->a)(x-a)/(sqrt(x)-sqrt(a))

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  10. Evaluate the following limit: (lim)(x->0)(sqrt(2-x)-sqrt(2+x))/x

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

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  12. Evaluate: (lim)(x->2)\ (x-2)/(x3-3 3)

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  13. If (lim)(x->-a)(x^9+a^9)/(x+a)=9,\ find the real value of adot

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

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  15. Evaluate the following limit: (lim)(x->0)((1+x)^6-1)/((1+x)^2-1)

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

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  17. Evaluate (i) (lim)(x""->1)(x^(15)-1)/(x^(10)-1) (ii) (lim)(x""->0)(sq...

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  18. Evaluate the following limit: (lim)(x->a)(x^(2//3)-a^(2//3))/(x^(3//4)...

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

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

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