math quizes calc 1

Math 151 Quiz 11. Name: Due by the end of class on Thursday, December 1

I. Compute the following limits. You must use ĽHôspital’s Rule whenever possible. Show the type of indeterminate form the limit gives before using ĽHôspital’s Rule (0/0, ∞/∞, or -∞/∞). Show all work – do not just give the solution. Use proper notation throughout your solutions!

1 𝑙𝑖𝑚 !→!

𝑠𝑖𝑛𝑥 1 − 𝑒!

2 𝑙𝑖𝑚 !→!!

𝑥2 + 2𝑥 3𝑥 − 9

3 𝑙𝑖𝑚 !→!

1 − 𝑥 𝑥 − 1

4 𝑙𝑖𝑚 !→!

4 − 𝑥 𝑥 − 4

II. Indicate the indeterminate form that is equivalent to the original limit. Use the logarithmic method to evaluate the limit. State special properties of functions you might be using in this problem (for example: continuous, increasing, …) To receive any credit at all you must show every possible step. Use proper notation throughout your solution!

𝑙𝑖𝑚 !→!

𝑥!/!

[5 points]

[5 points]

[3 points]

[3 points]

[9 points]