A particle moves on a circle through points marked clockwise as 0, 1, 2, 3, and 4. At each step, the particle has an equal chance of moving one step clockwise or counterclockwise. a) Find the limiting probabilities of being at each of the points. b) Assume that at each step, the probability of moving one step clockwise is now 0.99. Find the limiting probabilities.

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A: (.) Given,            Now we do partial fraction.

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Q: Would you please explain step 2?

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Q: Can you please finish the question? It looks like the correct step but ends mid step2.

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Q: + + = 60 + = 30 = 3 = ? +

A: To find-

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Q: Show your wo

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Q: Explain again step 3 ? I don't understand.

A: It is clear that the function f(t) has jump discontinuity at (n,0) where n is an integer.