Step 1: Choose a series of x-values that are very close to the stated x-value, coming from the left of the number line. For this example, I’ll use the sequence values for x from above: 2.9, 2.99, 2.999, 2.9999, 2.99999 Step 2: Enter your x-values into the given function. The...
Step 1:Create a graph to help you visualize the problem.I usedDesmos.com: By looking at the intersections of the two functions, I can see that the two graphs form a leaf-like shape between x = 0 and x = 1. This is the shape we’re going to rotate. The interval from 0 to 1 i...
For steps, use Go to Symbolab’s Calculator, which I use in the examples below. Above The X-Axis Example question: What is the area of the function f(x) = x2 between x = 1 and x = 5? Solution: Step 1: Graph the Area (using Desmos): This confirms that we are dealing with a...
Integrals,limits, series and sequences can all converge. For example, if a limit settles on a certain (finite) number, then the limit exists. The opposite isdiverge, where the integral, limit, series or sequence fails to settle on a number. In the case of a limit, if it diverges, the...