3 Nov 2021
Problem 52b
Page 134
Section 2.5: Limits involving infinity
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
3 Nov 2021
Given information
The given curve is and for the cases (i) (ii) (iii) (iv) and (v) .
Step-by-step explanation
Step 1.
Draw the graph for curve is \[y={{x}^{n}}\] and for the cases (i) \[n=0\] (ii) \[n>0,n\text{ odd}\] (iii) \[n>0,n\text{ even}\] (iv) \[n<0,n\text{ odd}\] and (v) \[n<0,n\text{ even }\].
(i) is shown by the red curve.
(ii) is shown by blue curve.
(iii) is shown by green curve.
(iv) is shown by orange curve.
(v) is shown by purple curve.