i knew that if lim(x-->a-) f(x) = lim(x-->a+) f(x) = f(a) then the function is continues and this mean that there is no gaps or jumps in the graph. But what we happen if the lim of f(x) from right is equal to the lim of f(X) from right?
i knew that if lim(x-->a) f(x) = L means that f(x) can be made to be as close to L as desired by making x sufficiently close to 'a'. In that case, we say that "the limit of f of x, as x approaches a, is L".
i want to know what can i deduced in the graph when lim of the function exists from left equal that of left and when they are not equal.
Please help me I'm very confused:S:S
i knew that if lim(x-->a) f(x) = L means that f(x) can be made to be as close to L as desired by making x sufficiently close to 'a'. In that case, we say that "the limit of f of x, as x approaches a, is L".
i want to know what can i deduced in the graph when lim of the function exists from left equal that of left and when they are not equal.
Please help me I'm very confused:S:S