Does the above mean the following?

. . . . .

Assuming so...

Does the above means "find the horizontal asymptote" or "find the limit as x gets arbitrarily large" or something similar?

Assuming so...

Does the above mean "So I take the limit of the expression, as x tends toward positive infinity"?

Assuming so...

How did you arrive at this limit value, seeing that the exponential numerator growsmuchmore quickly than does the linear denominator?

Kindly please reply with corrections, confirmations, and / or clarification. Thank you!