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B. Using the definition of limit (so, without using Arithmetic of Limits), show that i. limn→∞ (4 + n) / 2n  = 1/2 ii. limn→∞ 2/n + 3/(n+1) = 0

B. Using the definition of limit (so, without using Arithmetic of Limits), show that i. limn→∞ (4 + n) / 2n  = 1/2 ii. limn→∞ 2/n + 3/(n+1) = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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B. Using the definition of limit (so, without using Arithmetic of Limits), show that
i. limn→∞ (4 + n) / 2n  = 1/2
ii. limn→∞ 2/n + 3/(n+1) = 0

Expert Solution
Step 1

Definition : For all ∈>0 there exists m such that fx-l<∈whenever x>c.

To show that : By using limit definition 

i.limn→∞ 4+n2n=12ii. limn→∞ 2n+3n+1=0

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