In mathematics, a limit is the value that a function "approaches" as the input "approaches" some value. Limits are essential to calculus (and mathematical analysis in general) and are used to describe functions and define continuity, derivatives and integrals. Without limits, calculus is not possible.Look at: limx1x2-1x-1 this reads: "the limit as x approaches 1 of the function x2-1x-1"What does this actually mean? What are we looking for?One way to find this limit is a table of values:Right sided limitLeft sided limit\table[[x,0.9,0.99,0.999,1,1.001,1.01,1.1],[F(x),,,,??,,,]]Thus limx1x2-1x-1=Look at the graph of f(x)=x2-1x-1. Use the graph to confirm your answ above.