Thursday, 24 November 2016

calculus - Finding the limit of limkrightarrowinftyleft(frac2k+12k1+3right)



limk(2k+12k1+3)



I'm trying to prove that the limit of the sequence is 2 using the squeeze theorem, but with no success.
Thanks


Answer



HINT: Multiply the fraction by 1 in the carefully chosen disguise




\frac{1/2^{k-1}}{1/2^{k-1}}\;.


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