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lim(xrarr2) (3x^(2)-x-10)/(x^(2)-4)...

`lim_(xrarr2) (3x^(2)-x-10)/(x^(2)-4)`

Text Solution

Verified by Experts

`underset(Xrarr2)"lim"(3x^(2)-x-10)/(x^(2)-4) ((0)/(0))`
`=underset(xrarr2)"lim"((x-2)(3 x+5))/((x-2)(x+3))`
`=underset(xrarr2)"lim"(3x+5)/(x+2)=(3(2)+5)/(2+2)=(11)/(4)`
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