To get an expression for the region under the graph of as limit, use definition 2. Avoid evaluating the boundary.
What do the
By examining the appropriate limits, ascertain the final behavior of the following transcendental functions. The associated graph is then simply sketched, with any asymptotes indicated.
Find the critical points of the following functions.Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, a local minimum,or a saddle point. If the Second Derivative Test is inconclusive,determine the behavior of the function at the critical points.