Complete the chart shown below Round all values to 6 decimal

Complete the chart shown below. Round all values to 6 decimal places. f(x) = sin(2x)/x g(x) = 1 - cos x/sin x t(x) = (1 + x)^1/x p(x) = e^x - 1/x

Solution

x sin(2x)/x (1-cosx)/sinx (1+x)^(1/x) (e^x-1)/x 1 0.909297 0.546302 2.000000 1.718282 0.5 1.682942 0.255342 2.250000 1.297443 0.1 1.986693 0.050042 2.593742 1.051709 0.01 1.999867 0.005000 2.704814 1.005017 0.001 1.999999 0.000500 2.716924 1.000500 0.0001 2.000000 0.000050 2.718146 1.000050 0.000001 2.000000 0.000001 2.718280 1.000000 -0.000001 2.000000 -0.000001 2.718283 0.999999 -0.0001 2.000000 -0.000050 2.718418 0.999950 -0.001 1.999999 -0.000500 2.719642 0.999500 -0.01 1.999867 -0.005000 2.731999 0.995017 -0.1 1.986693 -0.050042 2.867972 0.951626 0.5 1.682942 0.255342 2.250000 1.297443 -1 0.909297 -0.546302 0.000000 0.632121