Check that the series given below is convergent or divergent. (a)∑n=1∞(−1)nnn+1. (b)∑n=1∞(−1)nnn2+1. (c)∑n=1∞3n5n−22n. Alternating Series: In mathematics, an alternating series is one in which the term...
The simplest way to analyze convergence is to see whether the sequence is bounded or not. If the sequence is not bounded, then it's definitely divergent. However, this does not imply that every bounded sequence is convergent. The question of when does a sequence converge (in the case of ...
If ∑n=1∞bn is convergent, the series ∑n=1∞an is also convergent. If ∑n=1∞an is divergent, the series ∑n=1∞bn is also divergent. Method 3: Geometric Test This test can only be used when we want to confirm if a given geometric series is convergent or not. ...
Fluids Design and Engineering Data Convergent-Divergent Nozzle Flow Velocity and Area Equation and Calculator Throat Velocity Equation: Values of the index n and the critical pressure ratio r, for different fluids are given in the table below. Throat Area Equation: Critical Pressure Ratio Equati...