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Evaluate (i) lim(xrarr3)((x^(2)-9)/(x-3)...

Evaluate `(i) lim_(xrarr3)((x^(2)-9)/(x-3))" "(ii)lim_(xrarr1)((x^(2)-4x+3))/((x-1)).`

Text Solution

Verified by Experts

(i) `lim_(xto3)((x^(2)-9)/(x-3))=lim_(xto3)((x+3)(x-3))/((x-3))=lim_(xto1)(x+3)=6`
`(ii)lim_(xto1)((x^(2)-4x+3))/((x-1))=lim_(xto1)((x+1)(x-3))/((x-1))=lim_(xto1)(x-3)=-2.`
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