lim (x^(2)-4)/(x-2)

x->2

lim
x->1 (x+1)/(x-1)

1 answer

( x ^ 2 - 4 ) / ( x - 2 ) =

( x + 2 ) * ( x - 2 ) / ( x - 2 ) =

x + 2

lim ( x ^ 2 - 4 ) / ( x - 2 ) as x->2 =

lim ( x + 2 ) as x->2 = 2 + 2 = 4

( x + 1 )/ ( x - 1 ) = 2 / ( x - 1 ) + 1

lim ( x + 1 )/ ( x - 1 ) as x->1 =

lim [ 2 / ( x - 1 ) + 1 ] as x->1 = + OR - infinitty

becouse lim 2 / ( x - 1 ) as x->1 = + OR - infinity