Find the limits (i) (lim)(x""->1)[(x^2+...

Find the limits (i) `(lim)_(x""->1)[(x^2+1)/(x+100)]` (ii) `(lim)_(x""->2)[(x^3-4x^2+4x)/(x^2-4)]` (iii) `(lim)_(x""->2)[(x^2-4)/(x^3-4x^2+4x)]` (iv) `(lim)_(x""->2)[(x^3-2x^2)/(x^2-5x+6)]` (v) `(lim)_(x""->1)[(x-2)/(x^2-x)-1/(x^3-3x^2+2x)]`

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Find the limits (i) (lim)_(x rarr1)[(x^(2)+1)/(x+100)] (ii) (lim)_(x rarr2)[(x^(3)-4x^(2)+4x)/(x^(2)-4)]

lim_(xrarr1) [(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]

lim_(x rarr2)(x^(3)-4x^(2)+4x)/(x^(2)-4)

lim_(x rarr2)(x^(2)-4)/(x^(3)-4x^(2)+4x)

lim_(x rarr 1) [(x+2)/(x^2-5x+4)+(x-4)/(3(x^2-3x+2))]

lim_(xrarr1)(x^2+3x-4)/(x-1)=?

Find the limits: lim_(x rarroo) ((x^2-2x+2)/(x^2-4x+1))^x