- #1
storygeek
- 7
- 0
Homework Statement
27. limit as x head towards infinity of xsin(1/x) is
A 0
B infinity
C nonexistent
D -1
E 1
from barron's ap calc 7ed, Chapter two review questions p.37
how come the answer is E? Isn't it A b/c the limit equals infinity or neg infinity times zero? the Book explains that we can represent x sin (1/x) as sin(1/x)/(1/x). when we take the limit of this, it comes out to be E.
29. a function is given, one with a removable disconinuity if x is not = 1 and y=4 when x = 1. The question asks what is true? I. limf (x goes to 1) exhists? II. f(1) exhists. III. f is continuous at x = 1.
The answer turns out that I is true. how come it is not I and II?
Homework Equations
limits and continuity knowledge