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Evaluate the following limit: underset( ...

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

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To evaluate the limit \[ \lim_{x \to 1} \frac{x^3 + 3x^2 - 6x + 2}{x^3 + 3x^2 - 3x - 1}, \] we will follow these steps: ...
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RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: underset( x rarr 2) ( "lim")(x^3+3x^2-9x...

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  2. Evaluate the following limit: underset( x rarr 3) ( "lim")(x^2-x-6)/(...

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

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  4. Evaluate the following limit: underset( x rarr 1) ( "lim")(x^7-2x^5+1...

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  5. Evaluate: lim(x->a)((a+2x)-sqrt(3x))/((3a+x)-2qrt(x)),(a!=0)dot

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

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

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

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  9. Evaluate the following limit: (lim)x/(sqrt(1+x)-sqrt(1-x))

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

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

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

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  13. Evaluate the following limit: underset( x rarr 7) ( "lim")(4-sqrt(9+x)...

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  14. Evaluate the following limit: underset( x rarr 2) ( "lim")(sqrt(1+4x)-...

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

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

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  17. Evaluate the following limit: underset( x rarr 3) ( "lim")(x-3)/(sqrt(...

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

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

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

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