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Evaluate the following limit: underset( ...

Evaluate the following limit: `underset( x rarr 1) ( "lim")((2x-3)(sqrt(x)-1))/(3x^2+3x-6)`

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To evaluate the limit \[ \lim_{x \to 1} \frac{(2x - 3)(\sqrt{x} - 1)}{3x^2 + 3x - 6} \] we will follow these steps: ...
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RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: underset( x rarr a) ( "lim")(x-a)/(sqrt(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If lim(x->a) (x^5-a^5)/(x-a)=5, then find the sum of theIf lim-possi...

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  18. If lim(x->a) (x^5-a^5)/(x-a)=5, then find the sum of theIf lim-possi...

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  19. If lim(x->a)(x^9-a^9)/(x-a)=\ lim(x->5)(4+x) find all possible values ...

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  20. If lim(x->a)(x^3-a^3)/(x-a)=lim(x->1)(x^4-1)/(x-1) , find all possible...

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