Only third question, thank you

Consider the function y - 1's 4 f (2) - 10's 100's 1000's 3 10000's x 100 2 102 1 Area dx = 4.6249728132842 0 1 2 3 4 5 6 7 2 1 By experimenting with the sliders, we see that an integer value n for which . is close to 5 is n = 148 . is close to 10 is n = 22031 . is close to 164 is n = Note: . try to give an answer so 1 1 I da is within 1% of the required value . you can enter 12345 x 10/in Maple notation as 12345-101 (678) As n increases, the value of the integral dx appears to be undefined We can verify this algebraically by first computing a finite integral, namely R 1 C= InR Now as we take the limit of this expression we get :da = lim R dx = undefined This is a special case of the p-integral de which converges to a finite value precisely when P> 1