Question: Let \[g(x)={{x}^{2}}-x-7\] be a function from the real numbers to the real numbers.

Task:

1. Find the set of δ values that satisfy the formal definition of \[\underset{x\to 4}{\mathop{\lim }}\,g(x)=5\] when given the value ε = 0.3, showing all work.
2. Use the formal definition of a limit to demonstrate that \[\underset{x\to 4}{\mathop{\lim }}\,g(x)=5\] , showing all work.
3. Find the set of δ values that satisfy the formal definition of \[\underset{x\to 4}{\mathop{\lim }}\,\frac{11}{g(x)}=2.2\] the value ε = 0.5, showing all work.

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document