Hello Friends,
I at a loss to understand the parts of the following proof:
For any positive ineteger n, prove that:
(1+1/n)^n < (1+1/n+1)^n+1
a, b positive real numbers such that a < b
Proof:
b^n+1 - a^n+1 = (b-a)(b^n+ab^n-1+...+a^n)
I could not understand the following part:
By...
Hello Friends,
I am at a loss to understand a proof concerning the proof of divergence of (-1) ^n sequence.
According to the book:
"To prove analytically that the sequence is convergent, it must satisfy both of the following conditions:
A: |-1-L| < epsilon
B: |+1 - L| < epsilon
"
(+1...
Hello friends,
I am quite confused how an absolute function is called a continuous one. f(x) = |x| has no limit at x=0 , that is when x > 0 it has a limit +1 {+.1, +.01, +.001} and -1 when x <0 {-.1, -.01, -.001} that is the reason it's not differentiable (left and right side limits are not the...