Question

show me basic steps in continuity of functions

Answer 1

\[\lim _{x->a} f(x)= f(a)\]

Answer 2

i think i remember 3 cases @myko or my memory could be just failing me

Answer 3

let me just clarify @waltee are you asking about how to know if a limit is continuous?

Answer 4

@Ⓐ lgbasallote i think he is asking how to find out if a function is continuous. The 3 cases you are saying are the 3 types of disconitnuity

Answer 5

Check if \[ \lim_{x \to a^{+}} f(x) = \lim_{x \to a^{-}}f(x) \]If you find the above statement true, then the function is continuous at that point(\(a\))

Answer 6

plz ParthKohli, i cant trace the domain

Answer 7

Can you please specify the real question?

Answer 8

limits do not gaurentee continuuity

Answer 9

myko is correct tho