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Evaluate the following limit: underset( ...

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

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To evaluate the limit \[ \lim_{x \to 1} \left( \frac{1}{x^2 + x - 2} - \frac{x}{x^3 - 1} \right), \] we will first simplify each term in the expression. ...
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RD SHARMA-LIMITS-All Questions
  1. Evaluate the following limit: underset( x rarr sqrt(2)) ( "lim")(x^2-2...

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  2. Evaluate the following limit: underset( x rarr sqrt(3)) ( "lim")(x^4-9...

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

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

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

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  6. lim(x->1) ((x^4-3x^2+2)/(x^3-5x^2+3x+1))

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  7. Evaluate the following limit: underset( x rarr - 2) ( "lim")(x^3+x^2+4...

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  8. Evaluate the following limit: underset( x rarr 3) ( "lim")(x^2-4x+3)/...

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  9. Evaluate the following limit: underset( x rarr 2) ( "lim")(x^3-8)/(x^2...

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  10. Evaluate the following limit: underset( x rarr 4) ( "lim")(x^2-7x+12)...

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  11. Evaluate the following limit: underset( x rarr 5) ( "lim")(x^2-7x+12)/...

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  12. Evaluate the following limit: underset( x rarr 5) ( "lim")(x^2-9x+20)/...

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  13. Evaluate the following limit: underset( x rarr 5) ( "lim")(x^3-125)/(x...

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  14. lim(x->sqrt(3))(x^2-3)/(x^2+3sqrt(3)x-12)

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

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

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

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

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  19. Evaluate the following limit: underset( x rarr 3) ( "lim")(x^2-9)(1/(x...

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  20. Evaluate the following limit: underset( x rarr 1) ( "lim")(x^4-3x^3+2...

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