Question
I don't know limits fairly well. The problem is prove the limit using definition 6,
lim x -> -3, 1 / (x+3)^4 = infinity.
The books definition for definition 6 is, let f be a function defined on some open interval that contains a, except possibly at a itself, then lim x -> a f(x) = infinity means that for every positive number E there is a positive number delta such that 0 <|x-a| < delta then f(x) > E. I don't understand how to do this or what the definition even means really.
Can you please explain it step by step all the way to the answer? Thank you.
lim x -> -3, 1 / (x+3)^4 = infinity.
The books definition for definition 6 is, let f be a function defined on some open interval that contains a, except possibly at a itself, then lim x -> a f(x) = infinity means that for every positive number E there is a positive number delta such that 0 <|x-a| < delta then f(x) > E. I don't understand how to do this or what the definition even means really.
Can you please explain it step by step all the way to the answer? Thank you.