Evaluate `lim_(xrarra)((x+2)^(3//2)-(a+2)^(3//2))/(x-a).`

1.	Evaluate `lim_(xrarra)((x+2)^(3//2)-(a+2)^(3//2))/(x-a).`
Answer» `lim_(xtoa)((x+2)^(3//2)-(a+2)^(3//2))/(x-a)` `=underset((x+2)to(a+2))(lim)((x+2)^(3//2)-(a+2)^(3//2))/((x+2)-(a+2))` `=3/2.(a+2)^(((3)/(2)-1))=3/2(a+2)^(1//2)" "[becauselim_(xtoa)((x^(n)-a^(n))/(x-a))=na^(n-1)].`

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