Find N such that for all n >N
3n<n!
-) f(n)=n+1 g(n) = 3n² – 3 Find (fºg)(8)
Find the sum of the series. n! n0 3n+1x2n + -/0.7 points SCalcET8 11.10.077. Find the sum of the series. 32n+ (2n 1)! n0 Find the sum of the series. n! n0 3n+1x2n + -/0.7 points SCalcET8 11.10.077. Find the sum of the series. 32n+ (2n 1)! n0
(a) Prove that, for all natural numbers n, 2 + 2 · 2 2 + 3 · 2 3 + ... + n · 2 n = (n − 1)2n+1 + 2. (b) Prove that, for all natural numbers n, 3 + 2 · 3 2 + 3 · 3 3 + ... + n · 3 n = (2n − 1)3n+1 + 3 4 . (c) Prove that, for all natural numbers n, 1 2 + 42 + 72...
Find the sum 120 3n = n=71
3n+1 Find the sum 5n n=1
3. Show that (1.2)+(2-3)+(3.4) + ... + n(n+1) = n(n+1)(n+2) for all natural numbers n = 1,2,3,... 3 4. Show that n2 + 3n is divisible by 2 for all natural numbers n 2 1
Find the DTFT of x[n] = (0.5)n cos(3n)u[n] and plot the |X(Ω)| for -π < Ω <π Please state the properties used
2) Prove that 1 + 3n < 4n for all n > 1. /5 Marks/
Find the energy released in the fission reaction n+23592U → 9840Zr+13552Te+3n.
(a) Use Exercise 26.2 to find an explicit formula for the function f(x)-ΣηΉ n- (b) Find the exact value of Σ n-l 26.2 (a) Observe Σ001 nz"--for lx〈 1; see Example l. (1-z)2 (b) Evaluate . Compare with Exercise 14.13(d). 흙 ad Σ ( c) Evaluate 500. i (-1)"n _ n=1 n=1 3n (a) Use Exercise 26.2 to find an explicit formula for the function f(x)-ΣηΉ n- (b) Find the exact value of Σ n-l 26.2 (a) Observe Σ001 nz"--for...