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Please as detailed as possible (there are 2 exercises) Sorry for the display In

ID: 2982913 • Letter: P

Question

Please as detailed as possible (there are 2 exercises)


Sorry for the display

In particular, for crcry sequence xn rightarrow + infinity as n rightarrow c see Stewart. Sec. 3.6; for example, The Euicr numbers En, n = 0,1,2, are defined Write equations from which one can find E0. EL. E2. Use part (i) and the method of mathematical induction to prove that E2n+l = 0, n = 0,1,2, (you may want to use the statement p(n) ="E2k= 0, k = 0,1,2, n", n = 0,1,2,). Evaluate E0, E2 E6 Show your work. Hint: Use known Maclaurin expansion for cos x and the method of calculating Taylor series of 1/f (x) by employing the formula for multiplication of power series (do not prove that sec x coincides with its Maclaurin series for |x|

Explanation / Answer

put x=1 andd pit x=-1 then add two equations to conclude E_2n+1 is 0