The sequence \(\sqrt{3}, \sqrt{3\sqrt{3}},\sqrt{3\sqrt{3}\sqrt{3}},…\)converges to
1. 1
2. 2
3. 3
4. none of these
1. 1
2. 2
3. 3
4. none of these
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Correct Answer – Option 3 : 3
Concept:
If p is any real number such that p > 1, then the sequence \(\sqrt{3}, \sqrt{p\sqrt{p}},\sqrt{p\sqrt{p}\sqrt{p}},…\)converges to p.
Calculation:
Given sequence \(\sqrt{3}, \sqrt{3\sqrt{3}},\sqrt{3\sqrt{3}\sqrt{3}},…\)
from the above statement, we can say that the given sequence converges to 3.