lim (squar(14+y)-squar(14))/y

Question

y->0

Find limit if there is one.

Answer 1

You mean????

[(14+y)^2 - 14^2 ] / y ????
if so
[ (14+y-14)(1+y+14)] / y

y (y+15)/ y

y+15

as y--->0
15

Answer 2

multipy the lim by sqrt(14+y)+sqrt14/same

lim (14+y - 14) /y(sqrt(14+y)+sqrt14))

y/y2sqrt14 =1/2sqrt14