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Evaluate the following lim(xto3)(x^2+2x-...

Evaluate the following `lim_(xto3)(x^2+2x-15)/(x^2-x-6)`

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`lim_(xto3)(x^2+2x-15)/(x^2-x-6)`
`=lim_(xto3)(x^2+5x-3x-15)/(x^2-3x+2x-6)`
`=lim_(xto3)(x(x+5)-3(x-5))/(x(x-3)+2(x-3))`
`=lim_(xto3)((x-3)(x+5))/((x-3)(x+2))`
`=lim_(xto3)(x+5)/(x+2)=(3+5)/(3+2)=8/5`
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MBD PUBLICATION-LIMIT AND DIFFERENTIATION-QUESTION BANK
  1. Evaluate the following lim(xto2) (x -2)/(x^4-16)

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  2. Evaluate the following lim(xto2)(x^3-8)/(x^5-32)

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  3. Evaluate the following lim(xto3)(x^2+2x-15)/(x^2-x-6)

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  4. Evaluate the following lim(xto0)((3+x)^3-27)/x

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  5. Evaluate the following lim(xto2)(1/x^2-1/4)/(x-2)

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  6. Evaluate the following lim(xto1)1/(x-1){1/(x+3)-2/(3x+5)}

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  7. Evaluate the following lim(hto0) ((x+h)^3-x^3)/h

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  8. Evaluate the following lim(hto0)((x+h)^4-x^4)/h

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  9. Evaluate the following lim(xto1)(x^m-1)/(x^n-1), where m, n are intege...

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  10. Evaluate the following lim(xto1)(x^2-2x+1)/(x^2-x)

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  11. Evaluate the following lim(xto1)(x^2+x-2)/(x^3-x^2-x+1

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  12. Evaluate the following:lim(xtoinfty)(2x+1)/(3x-2)

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  13. Evaluate the following:lim(xtoinfty)(3x^2+x-1)/(2x^2-7x+5)

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  14. Evaluate the following:lim(xtoinfty)(x^3+2x^2+3)/(x^4-3x^2+1)

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  15. Evaluate the following:lim(xtoinfty)(x^4-5x+2)/(x^3-3x+1)

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  16. Evaluate the following:lim(xtoinfty)(x^3/(2x^2-1)-x^2/(2x+1))

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  17. Evaluate the following:lim(ntoinfty) n/(n+1)

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  18. Evaluate the following:lim(ntoinfty) ((n^2+n+1)/(5n^2+2n+1))

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  19. Evaluate the following:lim(ntoinfty) ((sqrtn-1)/(sqrtn+1))

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  20. Evaluate the following:lim(ntoinfty) ((6n^5+2n+1)/(n^5+n^4+3n^3+2n^2+n...

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