Recent content by sabyakgp

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...

Thanks a lot gb7nash and HallsofIvy. I was quite mistaken.

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...