Thanks for the welcome and speedy reply. I'm still having trouble understanding the problem. Does each line (separate eq) require a separate solution? After taking calc 1, 2, DE and multivariable calc I don't remember learning/using a Taylor series expansion. The chapter this question pertains...
Homework Statement
(a) The ratio v/c is very often denoted by the single symbol β. Show that if β<<1, the following are valid through terms of order β^2
E = mc^2 + (mv^2)/2 = (mc^2)[1+(β^2)/2]
K = (mv^2)/2 = (mc^2)[(β^2)/2]
pc = mvc = m(c^2)β
γ = 1+(β^2)/2
(b) Show that if γ = ε^-1...