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?