Question

evaluate the limit.....

Answer 1

\[\lim_{x \rightarrow 1+} \sqrt{2x}(x-1)\div |x-1|\]

Answer 2

what do I start with?

Answer 3

if \(x\to 1^+\) then \(x-1>0\) thus \(|x-1|=x-1\)

Answer 4

I'm not sure I understand that.

Answer 5

when x is getting close to 1 from the right you are using numbers that are close to 1 but just a little larger

Answer 6

so \(x>1\)

then \(x-1>0\)

Answer 7

the absolute value of a positive number is just that number