Math Answers

Examine the following series for convergence

∞Σn=1 [(n-1/(2n+3)]^n

Examine whether the equation, x^3-11x+9=0 has a real root in the interval, [-1,2]

Find whether the following series are convergent or not

ii. ∞Σn=1 (√(n^2+3) - √(n^2-3)/ √n

Sketch the graph of the function, f defined by

f(x)= |x-3| +[x], x∈ [2,4] where [x] denotes the greatest integer function

Show that the sequence (fn) sequence where

fn(x)= x/(1+nx^2), x∈[2,∞] is uniformly convergent in [2,∞]

Using the principle of induction, prove that 64 is a factor of 3^(2n+2)- 8n-9 ∀ n∈N

Let G be a group of order 11 2 :13 2 how many 11sylow subgroups and 13 sylow subgroups are there in G

A speculator purchases a put option on British Pounds for 0.05$ per unit; the strike price is 1.50$.

A pound option represents 31.250 units

Assume that at the time of the purchase, the spot rate of the pound is 151$ and continually rises to 1.62$ by the expiration date.

1. Compute the highest net profit possible for the speculator based on the information above?

2. Compute the highest profit/loss for the seller of this put option?

if random variable is uniformly distributed (-2,1) find pdf of y = 2x ^3

Trace the curve x=a(theta + sin theta), y = a(1-cos theta). State the properties you use for tracing it also.