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If G(x)=.-sqrt(25-x^(2)),"find the value...

If `G(x)=.-sqrt(25-x^(2)),"find the value of " underset(xrarr1)"lim"(G(x)-G(1))/(x-1)`

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Verified by Experts

The correct Answer is:
`(2)/(2sqrt(6))`
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CHHAYA PUBLICATION-LIMIT-EXERCISE 2 ( Short Answer Type Questions)
  1. Evaluate : underset(xrarr0)"lim"(sqrt(1+x^(2))-sqrt(1+x))/(sqrt(1+x^(3...

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  2. Evaluate underset(xrarra)"lim"(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(...

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  3. If G(x)=.-sqrt(25-x^(2)),"find the value of " underset(xrarr1)"lim"(G(...

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  4. Evaluate : underset(xrarroo)"lim"(6-5x^(2))/(8x-15x^(2))

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  5. Evaluate : underset(xrarroo)"lim"(2x-5)/(3x+2)

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  6. Evaluate : underset(nrarroo)"lim"(3n^(2)-4n+6)/(n^(2)+6n-7)

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  7. Evaluate : underset(nrarroo)"lim"(1+sqrt(n))/(1-sqrt(n))

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  8. Evaluate : underset(xrarroo)"lim"(4x^(3)-3x^(2)+6x-2)/(3+5x^(2)+5x^(...

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  9. Evaluate : underset(xrarroo)"lim"e^(1/(2x)+2)

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  10. Evaluate : underset(nrarroo)"lim"(2n^(2)+3n-9)/(3n^(3)+2n+7)

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  11. Evaluate : underset(xrarroo)"lim"(x^(4)+3x^(3)-2x^(2)+5)/(x^(3)-3x^(...

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  12. Evaluate : underset(nrarroo)"lim"(sqrt(1+n^(2))-sqrt(1+n))/(sqrt(1+n...

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  13. Evaluate the following limits : underset(xrarr0)"lim"(sqrt(cosx)-ro...

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  14. Evaluate the following limits : underset(xrarr0)"lim"(1-cosx)/(x^(2...

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  15. Evaluate the following limits : underset(hrarr0)"lim"(1-cosh)/(h" s...

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  16. Evaluate the following limits : underset(xrarr0)"lim"(1-cos4x)/(x^(...

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  17. Evaluate the following limits : underset(hrarr0)"lim"(cosah-cosbh)/...

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  18. Evaluate the following limits : underset(xrarr0)"lim"(tan^(-1)x)/(x...

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  19. Evaluate the following limits: underset(x rarr0)lim[tan(pi/4+x)]^(1/x)

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  20. Evaluate the following limits : underset(xrarr0)"lim"(xtanx)/(1-cos...

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