### Limit rules

Now that we have the formal definition of a limit, we can set about proving some of the properties we stated earlier in this chapter about limits. Constant Rule for. Remark. Do not treat $\pm\infty$ as ordinary numbers. These symbols do not obey the usual rules of arithmetic, for instance, $\infty +1=\infty$, $\infty -1=\infty$. limit laws, greatest integer function, Squeeze Theorem. Objectives To evaluate this limit, we must determine what value the constant function f(x) = 5 approaches . Note that the product rule does not apply here because Limit (sin(1/x),x = 0). If the one-sided limits exist at p , but are unequal, there is no limit at p the limit at p does not exist. Area Problem [ Notes ] [ Practice Problems ] [ Assignment Problems ]. Notice in this last example that again all we really did was evaluate the function at the point in question. Indeed, numbers are of three kinds: More specifically, when f is applied to any input sufficiently close to p , the output value is forced arbitrarily close to L. You should be able to convince yourself of this by drawing the graph of MPSetEqnAttrs 'eq','',3,[[42,14,4,-1,-1],[56,19,5,-1,-1],[68,23,7,-1,-1],[63,21,7,-1,-1],[83,29,9,-1,-1],[,36,11,-2,-2],[,60,18,-3,-3]] MPEquation. If you are a mobile device especially a phone then the equations will appear very small.