Hi, im not sure if this is in calculus or number theory section... Using the definition of a convergent sequence show that converges to zero. Thanks in advance!! -ynot-
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Originally Posted by ynotidas Hi, im not sure if this is in calculus or number theory section... Using the definition of a convergent sequence show that converges to zero. Thanks in advance!! -ynot- Big Hint: multiply by the conjugate over itself and simplify. of course, you have to do this within the framework of the definition
Thanks!! i got to i have no idea what to do next??
Originally Posted by ynotidas Thanks!! i got to i have no idea what to do next?? ok, another hint: now see if you can finish up. look at the definition of convergence to see what you have to show
thanks, do i do this? then n>1/(4epsilon^2) thus |An - 0| < epsilon if n>1 & n>1/(4epsilon^2) n*> max{1,1/(4epsilon^2)} n>=n*, we have |An-0|<epsilon [SORRY it's taking me forever to type it in the [math} mode]
Originally Posted by ynotidas thanks, do i do this? then n>1/(4epsilon^2) thus |An - 0| < epsilon if n>1 & n>1/(4epsilon^2) n*> max{1,1/(4epsilon^2)} n>=n*, we have |An-0|<epsilon [SORRY it's taking me forever to type it in the [math} mode] you want to show that For every , there exists an , such that implies So let and choose such that Then blah blah blah QED
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