Question

period of cos(x+x/3+x/3^2+......) is

Answer 1

Final Answer : 4π/3

Understanding :
1) Time Period of cos (x) is 2π
Therefore, TP of cos (ax) is 2π/|a|.
2) Sum of infinite GP .

Steps :
1)
$\cos(x + \frac{x}{3} + \frac{x}{ {3}^{2} } + \frac{x}{ {3}^{3} } + ..... + \infty ) \\ = > \cos(x(1 + \frac{1}{3} + \frac{1}{ {3}^{2} } + ... \infty ) ) \\ = > \cos(x( \frac{1}{1 - \frac{1}{3} } ) \\ = > \cos( \frac{3x}{2} )$

Time period of cos (3x/2) is 2π/(3/2) = 4π/3 .

Answer 2

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

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