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Test the series below for convergence using the root test.
∞∑n=1(9n24n+3)n
The limit of the root test simplifies to limn→∞|f(n)| where
f(n)= .
The limit is .
(enter oo for infinity if needed)
Based on this, the series .
∞∑n=1(9n24n+3)n
The limit of the root test simplifies to limn→∞|f(n)| where
f(n)= .
The limit is .
(enter oo for infinity if needed)
Based on this, the series .
Get help:
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
9n24n+3
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
∞
Box 3: Select the best answer
diverges