# For each pair of functions, use the basic functions (when possible) to say which approaches its limit

## Question:

1. x2 and e2x as x †’ ˆž.

2. x2 and 1000x as x †’ ˆž.

3. 0.1x0.5 and 30 1n(x) as x †’ ˆž.

4. x and ln(x)2 as x †’ ˆž.

5. e-2x and x-2 as x †’ ˆž.

6. 1/ln(x) and 30x-0.1 as x †’ ˆž.

7. x-1 and - ln(x) as x †’ 0. Use your result to figure out

8. x-1 and 1 / ex - 1 as x †’ 0.

9. x2 and x3 as x †’ 0.

10. x2 and ex - x - 1 as x †’ 0.

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**Related Book For**

## Modeling the Dynamics of Life Calculus and Probability for Life Scientists

**ISBN:** 978-0840064189

3rd edition

**Authors:** Frederick R. Adler