Sharedsupport / 2014-12-08 continuous compounding.sagewsOpen in CoCalc
Examples for support purposes...
%var w

show(solve(2*w^(-4/3) == 1/4, w))
[w=i834,w=i834,w=834,w13=814]\left[w = -i \cdot 8^{\frac{3}{4}}, w = i \cdot 8^{\frac{3}{4}}, w = 8^{\frac{3}{4}}, w^{\frac{1}{3}} = -8^{\frac{1}{4}}\right]

65528518-7ba1-43df-a8a4-99a683fed083
a = 4^(1/4); a
4^(1/4)
a.full_simplify()
sqrt(2)
show(a.full_simplify())
2\sqrt{2}
v = []
for m in [1,10,..,1000]:
    t = (1+0.09/m)^(m)
    v.append((m,t))
f(x) = e^(0.09)
line(v) + plot(f,(0,m), color='red')