f(x)=(1+x+x^2 +x^3 +x^4)/(1+x^4) using lmit n->+infinity obviously this function goes to 1 is that all i need to do in order to show that its bounded ??
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Originally Posted by transgalactic f(x)=(1+x+x^2 +x^3 +x^4)/(1+x^4) using lmit n->+infinity obviously this function goes to 1 is that all i need to do in order to show that its bounded ?? Case #1 Case #2 Is that what you wanted? EDIT: Using calculus you can greatly improve this to
Originally Posted by transgalactic f(x)=(1+x+x^2 +x^3 +x^4)/(1+x^4) using lmit n->+infinity obviously this function goes to 1 is that all i need to do in order to show that its bounded ?? As the denominator has no zeros and the numerator is a polynomial, it is sufficient to show that the two limits as are both finite. CB
solved it thanks
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