Let a Then limit n - infinity (a)^(n) is 0 Let b 1 Then limit n - - Maths - Continuity and Differentiability

Question

Let a Then limit n -> infinity (a)^(n) is 0
Let b > 1
Then limit n -> infinity (b)^(n) is infinity
Am I right????

Aarushi Mishra · Accepted Answer

Dear student
Yes you are right
If 0≤a<1, limn→∞an=0If b>1, limn→∞bn→∞Also if a=1, limn→∞an=limn→∞1n=1

Let a Then limit n -> infinity (a)^(n) is 0 Let b > 1 Then limit n -> infinity (b)^(n) is infinity Am I right????