" 2.(a) "x sqrt(x+2)" [ "

int _(-1) ^(2) (x ^(2) -x)/(sqrt(x ^(2) + 4))

For x gt 2, then equation sqrt(x + 2) - sqrt(x - 2) = sqrt(4x - 2) has

lim _ ( xto 2) ( sqrt(x) -sqrt2) /( x-2)

lim _(x to ((1)/(sqrt2))^(+))(cos ^(-1) (2x sqrt(1- x ^(2))))/((x-(1)/(sqrt2)))- lim _(x to ((1)/(sqrt2))^(-))(cos ^(-1) (2x sqrt(1-x ^(2))))/((x- (1)/(sqrt2)))=