What's the limit of Lim x -> -2 x^3 + 8/ x+2 ? Please help :(

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Answer 1 · 2018-02-26T08:56:43

#lim_(x->-2)(x^3+8)/(x+2)=12#

We want to solve

#lim_(x->-2)(x^3+8)/(x+2)#

Which is the indeterminate form #0/0#,

and therefore we can apply LH's rule

#lim_(x->a)f(x)/g(x)=lim_(x->a)(f'(x))/(g'(x))#

Thus:

#lim_(x->-2)(3x^2)/(1)=3(-2)^2=12#