Please someone help: Multiple choice, people gave me wrong answer, read carefull
ID: 2867558 • Letter: P
Question
Please someone help: Multiple choice, people gave me wrong answer, read carefully
e.none of the above
a. 256
b. 16
c. 4
d. 2
e. None of the above
a. 0
b. 5/7
c. 1/7
d. 5
e. Does not exist
21.Compute the limit of the sequence {cos(npi)}. (Hint: compute the first few terms of the sequence.)
a. 0
b. 1
c. minus 1
d. pi
e. 2pi
f. Does not exist
23.The table lists the values of the first 9 values of a sequence. Which of the following statements must be true?
n=1 1.00000
n=2 0.5000
n=3 0.66666
n=4 0.61925
n=5 0.61978
n=6 0.61834
n=7 0.61836
n=8 0.61836
n=9 0.61836
a. The sequence has a limit of 0.61836.
b. The sequence does not have a limit.
c. A limit for this sequence can not be determined from this information.
d. All of the terms in the sequence will be positive.
e. None of the above
Explanation / Answer
17 ans d (just substitute n u will get the answer)
r = -1/2
an = a0r^n
an = (-1/2)^n
an = (-2)1-n
18 not clear a{n+1}=?a{n}?
19 5n/n+7
if n tends t0 infinity then limit is 5
if n tends to zero then limit is 0
5/[1+(7/n)]
ans a,d
20 if n tends to zero then limit does not exists
if n tends to infinity then limit is zero
ans a,e
21 if n tends to odd then the limit is -1
if n tends to even then limit is 1
ans b,c
22 limit does not exists
ans e
23 ans a ,d (observe last 3 terms in sequence they remain same)