- #1

- 19

- 0

## Homework Statement

lim n->infinity (4^x + 7^x)^(1/x)

## Homework Equations

Not applicable (?)

## The Attempt at a Solution

Tried taking "plugging" infinity for n but I keep getting 1, is this right?

Seems too easy to be just 1?

Thank you.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter The_Journey
- Start date

- #1

- 19

- 0

lim n->infinity (4^x + 7^x)^(1/x)

Not applicable (?)

Tried taking "plugging" infinity for n but I keep getting 1, is this right?

Seems too easy to be just 1?

Thank you.

- #2

olivermsun

Science Advisor

- 1,248

- 118

Look at the thing being raised to the power 1/x. Which one will dominate as x gets large?

- #3

- 2,571

- 1

Take the natural logarithm

- #4

- 19

- 0

@flyingpig: Am I allowed to take the natural log of the function? Won't that change the limit?

- #5

- 125

- 0

I think olivermsun is saying that one of those two terms will dominate as x gets larger.

- #6

- 4,583

- 1,864

- #7

- 19

- 0

Ah thank you very much Delta, totally forgot about that part :)

Share: