I have a question about todays lecture. we aw that there are a left and a right side limit for
my question is: is there any patter between this equation and other 2 sided limits, that would make it easier to figure out if its 1 or 2 side limit without doing lots of calculations or even graphing the equation?
thanks for your time.
PS: great lecture about limits, the explanation was really good and it was really easy to follow up and understand the topic, THANKS!!!
The left and right side limits can be applied to any function (there are left and right limits for f(x) = x+2, say, for x -> any number). The main reason they are convenient to use in case of the limit of the above function when x approaches 0 is because the absolute value is defined by means of different expression to the right and to the left of 0. So, consider using one-sided limits in such cases - in cases when the function is defined by different expression to the left and right of the limit point (the point x approaches).
Hope this helps (I am not sure I understood your question).