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IA MARON-INTRODUCTION OF MATHEMATICAL ANALYSIS-Number Sequences. Limit of a Sequence
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- Prove that underset( n rarr oo)lim x(n)=1, if x(n)=(3^(n)+1)/3^(n).
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- Prove that lim x(n)=2, if x(n)=(2n+3)//(n+1). Find the number of the t...
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- Prove that the sequence 1/2, 1/2, 3/4, 1/4, 7/8, 1/8...... with the ge...
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- Test the following sequences for limits: (a) x(n)=1/((2pi)), (b) x(n...
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- Prove that the sequence with the general term xn=1/n^(k) (k gt 0) is ...
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- Prove that the sequence with the general term (a) x1=(1-(-1)^(n))/(n...
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- Prove that underset(n to oo)lim rootn(a)=1 (a gt 0.
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