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dianetics
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Homework Statement
( xn ) is given.
ym = ( x1 + . . . + xm ) / m
show that if xn converges to M, then ym converges to M
Homework Equations
Definition of convergence for sequences
The Attempt at a Solution
I've tried a whole page full of algebraic manipulation. I found a recursive definition of ym, found xn in terms of ym and ym-1, and I've tried showing that abs(xn - L) < e, implies abs(bm - L) < e, all to no avail. I'd really appreciate some guidance.
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