Question

lim(x+2) with x going towards 4. The limit is 6. Find delta > 0 such that absolute value of f(x) - L < 0.01 whenever 0 < absolute value of x -c < delta

Answer 1

I foudn the limit but I am having trouble finding delta.

Answer 2

ok

Answer 3

do you think you could help me out with the problem?

Answer 4

try \(\delta = \epsilon=0.01\) :
\[|x-4|<0.01\implies |f(x)-L|=|(x+2)-6|=|x-4|\lt 0.01\]