lim x->2 (x^3+3x^2-12x+4)/(x^3-4t)

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lim x->2 (x^3+3x^2-12x+4)/(x^3-4x)

lim x->2 (x^3+3x^2-12x+4)/x(x^2-4)

lim x->2 (x-2)(x^2+5x-2)/x(x^2-4)

lim x->2 (x-2)(x^2+5x-2)/x(x-2)(x+2)

lim x->2 (x^2+5x-2)/x(x+2)

putting the limit, we get,

=(2^2+10-2)/2(2+2)

=(12/8)

=3/2

Awesome! Thank you so much! Really appreciate it!

if u have any calculus questions directly ask me.

thanks.

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