KCC's quizzes AQQ255 about a limit at infinite

As x increases toward infinity, the 1/x term approaches zero. The term in parenthesis approaches 1, e.g. (1+1/x) -> (1)

1 raised to any power is 1, so regardless of the power of x, 1 raised to the x power is 1.

So when x is large the limit of this equation is approximately 1.

As x increases toward infinity, the 1/x term approaches zero. The term in parenthesis approaches 1, e.g. (1+1/x) -> (1)

1 raised to any power is 1, so regardless of the power of x, 1 raised to the x power is 1.

So when x is large the limit of this equation is approximately 1.

Thanks rsprang for your prompt reply. But I think you have been a little bit too fast this time..It is correct to say 1/x approaches 0 and 1+1/x will tend to 1. BUT, in parallel, the exponent will put the whole value to infinite. The question will be then who goes faster? The exponent or the 1/x ?

Yes, that did seem a little too simple, I wondered if I was missing something......

Thanks for the comment and suggestions.