What is the limit?

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1 Answer
1s2s2p
Feb 8, 2018

#lim_(x->oo)e^(-x)(x^2+lnx)=0#

Explanation:

#lim_(x->oo)e^(-x)(x^2+lnx)=lim_(xtooo)e^(-x)*lim_(xtooo)(x^2+lnx)#

#color(white)(lim_(x->oo)e^(-x)(x^2+lnx))=lim_(xtooo)e^(-x)*(lim_(xtooo)x^2+lim_(xtooo)lnx)#

#color(white)(lim_(x->oo)e^(-x)(x^2+lnx))=0*(oo+oo)#

#color(white)(lim_(x->oo)e^(-x)(x^2+lnx))=0*(2oo)#

#color(white)(lim_(x->oo)e^(-x)(x^2+lnx))=0#

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