Find lim_(x->1)+(frac{sqrt(2x) *(x-1)} {|x-1|})

FobelloE

FobelloE

Answered question

2021-08-16

Find limx1+(2x(x1)|x1|)

Answer & Explanation

escumantsu

escumantsu

Skilled2021-08-17Added 98 answers

We have to find limx1+(2x(x1)|x1|)
Note that for x1+, we have |x1|=x1, as in this case we always have x>1. This gives us :
limx1++(2x(x1)|x1|)=limx1++(2x(x1)x1)=limx1+(2x)=2
limx1+(2x(x1)|x1|)=2

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