代写MATH350-Real Analysis I Final Exam

日期：2024-06-13 05:24

Final Exam

MATH350-Real Analysis I

Submission Deadline: 13 Jun 2024, Marks: 40

Question # 1:

Find which of the variables x, y, z and u represent rational numbers and which irrational numbers:

Question # 2:

Choose an appropriate scale and graph the following sets of real numbers on a number line:

{−15,−9,0,9,15}

Question # 3:

For the following functions f (x), find the real limit as x → ∞ if it exists. If it does not exist, state whether the function tends to infinity, tends to minus infinity, or has no limit at all

Question # 4:

Evaluate the following limit.

Question # 5:

Using sigma notation, write the following expressions as infinite series.

Question # 6:

State Taylor’s Theorem and L’ Hospital’s Rule with suitable examples?