Question

Justify: you are able to "find the limit of a graphical function at a point and calculate them by the limit laws" by an example (with the answer).

Answer 1

Let us consider the example of function

Plotting the curve to find the value at point (x=1)

as we can see that the function value at x=1.0 reaches the value of 2

Now, using the limit laws, we need to obtain the left hand limit and right hand limit

Since h is tending to zero, we can check the left hand limit as well

Hence using limit laws and limit graphically, the function value at x=1 will be equal to 2

Note - Post any doubts/queries in comments section.