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Evaluate : underset(xrarr2)"lim"(x-sqr...

Evaluate :
`underset(xrarr2)"lim"(x-sqrt(3x-2))/(x^(2)-4)`

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Verified by Experts

The correct Answer is:
`(1)/(16)`
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Evaluate : underset(xrarr2)"lim"(x^(2)-3x+2)/(x^(3)-5x+2) .

underset(xrarr4)"lim"(sqrt(x)-2)/(x-4)= ?

underset(xrarr3)"lim"(x^(3)-27)/(x^(2)-9)= ?

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CHHAYA PUBLICATION-LIMIT-IIIustrative Examples
  1. Evaluate : underset(xrarr1)"lim "(x^(2)-3x+2)/(x^(2)-4x+3)

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  2. Evaluate : underset(xrarr2)"lim"(x^(2)-3x+2)/(x^(3)-5x+2).

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  3. Evaluate : underset(xrarr2)"lim"(x-sqrt(3x-2))/(x^(2)-4)

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  4. Evaluate : underset(xrarr0)"lim"(sqrt(1+ax)-sqrt(1-ax))/(x)

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  5. Evaluate : underset(hrarr0)"lim"(f(1+h)-f(1))/(2h) , " where" f(x) =(1...

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  6. Evaluate : underset(xrarr0)"lim"(sqrt(1-x^(3))-sqrt(1-x))/(sqrt(1+x^...

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  7. Evaluate : underset(xrarr3)"lim"(sqrt(x-3)+sqrt(x)-sqrt(3))/(sqrt(x...

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  8. Prove that underset(hrarr-2)"lim"(h^(5)+32)/(h+2)=80

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  9. Prove that underset(xrarr0)"lim"((1+x)^(1//2)-1)/((1+x)^(1//3)-1)=(3...

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  10. Prove that underset(xrarry)"lim"(x^(9//2)-y^(9//2))/(x^(5//2)-y^(5//...

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  11. Prove that underset(hrarr0)"lim"(root3(x+h)-root3(x))/(h)=(1)/(3)x^(...

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  12. Prove that underset(xrarra)"lim"((x+5)^(5//2)-(a+5)^(5//2))/(x-a)=(...

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  13. Evaluate : underset(xrarr0)"lim"(root(3)(1+x)-root(3)(1-x))/(x)

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  14. Evaluate : underset(xrarr2)"lim"(2-sqrt(2+x))/(root(3)(2)-root(3)(4-x)...

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  15. Evaluate :underset(xrarr0)"lim"(tanx^(@))/(x)

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  16. Evaluate :underset(xrarr0)"lim"(sin^(-1)x)/(2x)

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  17. underset(xrarr(pi)/(2))"lim"(cosx)/((pi)/(2)-x) =

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  18. Evaluate :underset(xrarrpi)"lim"(sin3x)/(sin2x)

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  19. Evaluate :underset(xrarrpi)"lim"(1+cosx)/(x-pi)^(2)

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  20. Evaluate :underset(xrarr0)"lim"(sinx(1-cosx))/(x^(3))

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