- #1
javi438
- 15
- 0
Homework Statement
prove that if [tex]lim_{x\rightarrow c}[/tex] f(x) = L, then there are positive numbers A and B such that if 0 < |x-c|< A, then |f(x)|< B
2. The attempt at a solution
i know it's something to do with the limit definition, where for [tex]\epsilon[/tex] > 0, there exists a [tex]\delta[/tex] > 0 such that 0 < |x-c| < [tex]\delta[/tex], then |f(x)-L| < [tex]\epsilon[/tex]
i don't know how to get my way through proving it!
please helpppp!