indicated limit 1

Question

Find the indicated limit, if it exists.

Answer 1

The function

f(x) = 7-x^2         x<0

      =7                 x = 0

      = 10x+7        x>0

lim    (7-x^2)    =7-0 =7

x-->0¯

lim    (10x+7)    =0+7 =7

x-->0+

lim          =       lim                =7

x-->0¯              x-->0+

Therefore, the limit is exist  and limit is 7