# INFINITE-SERIES

Showing 10 of 25 Results

## Infinite series by Madhava of Sangamagrama

Infinite series: Madhava of Sangamagrama | Madhava was the first to develop an approximation with multiple infinite ranges, which has been called “a decisive step beyond the infinite method of ancient mathematics in taking the limit-transformation to infinity”.

## Test the convergence and absolute convergence of the following series:

Test the convergence and absolute convergence of the alternating harmonic series. determine whether the series is absolutely convergent, conditionally convergent

## show that the sequence defined by sn=(1/n+1)+(1/n+2)+(1/n+3)+…+(1/n+n) converges

show that the sequence defined by sn=(1/n+1)+(1/n+2)+(1/n+3)+…+(1/n+n)
To prove this we will show that this sequence is bounded as well as monotonic

## Does the following sequence an=cosn/n^2 converge, or does it diverge? Find the limit if it is a convergent sequence.

Does the following sequence an=cosn/n^2 converge, or does it diverge? Find the limit if it is a convergent sequence. Explain | an=cosn/n^2 | convergence of sequence

## Test the convergence of the series 1/3.7+1/4.9+1/5.11+… | Investigate convergence of the series 1/3.7+1/4.9+1/5.11+… | infinite series problems with solution solved problems in calculus

Test the convergence of the series 1/3.7+1/4.9+1/5.11+… OR  Investigate convergence of the series 1/3.7+1/4.9+1/5.11+…   Solution Here          Let now consider          (which is a […]

## Test the convergence of the series Σ cos1/n from n=1 to ∞ | Test the convergence of the series Σ root(n/(n+1)) | infinite series problems with solution solved problems in calculus

Test the convergence of the series  Σ cos1/n from n=1 to ∞ |  Test the convergence of the series Σ root(1/(n+1))

## Show that the Geometric series Σ r^n-1=1+r+r^2+r^3+r^4+…..,where r > 0 , is convergent if r < 1and diverges if r ≥ 1| Geometric series solved problems

Show that the Geometric series Σ r^n-1=1+r+r^2+r^3+r^4+…..,where r > 0 , is convergent if r < 1and diverges if r ≥ 1| Geometric series solved problems

## Evaluating π and e with infinite series | Approximations of π | Approximations of e | pi infinite series

Evaluating π and e with infinite series | Approximations of π | Approximations of e

## If Σ an is divergent and Σ bn is convergent, show that Σ (an – bn) is divergent . infinite series problems with solution solved problems in calculus

If Σ an is divergent and Σ bn is convergent, show that Σ (an — bn) is divergent . infinite series problems with solution solved problems in calculus

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