Answer:
answer is 7
Step-by-step explanation:
We are given a piecewise function which has a split at x=0
f(x) = [tex]f(x) = 7-x^2, x<0\\ = 7, x=0\\ = 10x+7, x>0[/tex]
To find the limit, we have to find here left hand limit and right hand limit separately.
Here left hand limit for x tending to 0 is
limit of [tex]7-x^2[/tex] as x tends to 0
= 7-0 = 7
Right limit = limit of 10x+7 as x tends to 0
=10(0)+7 = 7
Since right hand limit = left hand limit we have
there exists a limit for x=0 and the limit is 7
