Series limit with free parameter

Hello!

I am totally new to this. So, I am trying to input how to get the limit of a series with a parameter, ie like

a_n = \sqrt{(kn+2)} + \sqrt{(n)} , ~~k \in (0,+\infty )

RSolveValue[a[n] == Sqrt[k n + 2] + Sqrt[n], a[Infinity], n, Assumptions → k > 0]

Or:

DiscreteLimit[Sqrt[k n + 2] + Sqrt[n], n -> \[Infinity], Assumptions -> k > 0]

That is great! Is there also a way to see the step-by-step solution ? Trying “show steps” does not seem to work nor appears anywhere.

Probably not.

Hi,
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