How do you find ##lim (x+1)^(3/2)-x^(3/2)## as ##x->1^+##?

Project MGMT 402 M3A1 Discussion
September 30, 2017
I need this to be done by monday
September 30, 2017
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How do you find ##lim (x+1)^(3/2)-x^(3/2)## as ##x->1^+##?

##2 sqrt 2 – 1##

##lim_(x to 1^+) (x+1)^(3/2)-x^(3/2)##

The function is continuous through x = 1 so you can just plug in the value x = 1 to get ##2^(3/2) – 1 = sqrt 8 -1##

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