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Evaluate the following lim_(xto3)(x^2+2x-15)/(x^2-x-6) |
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Answer» SOLUTION :`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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