Prove: If lim xn = L as (n approaches infinity) the lim abs(xn) = L. (Hint: The inequality abs(abs(a) - abs(b)) is less than equal to abs(a-b). abs= absolute value
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well, they gave you the solution. we have and so we're done.
Originally Posted by tigergirl Prove: If lim xn = L as (n approaches infinity) the lim abs(xn) = L. (Hint: The inequality abs(abs(a) - abs(b)) is less than equal to abs(a-b). abs= absolute value Are you told that ? If not, you can't prove it, it isn't true! What is true in general is that is [math\lim x_n= L[/tex] then .
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