Express the following limits as integrals. n (a) L₁ =_lim Σ k=1 where a = (b) L₂ L₁ where b = = 3πT ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ n n La-lim ² Σ = n→+∞ N i=1 L₂ = - tan 67 + ·b [* tai a and b = tan(x) dx (2+²) (2+²) In b [ f(x) dx and f(x) = 3nk) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Express the following limits as integrals.
n
3π
3πk
14₁ = limetan (6x + 30²)
(a)
n→ +∞
n
k=1
where a =
(b) L₂ = lim
where b
L₁ =
=
n→+∞ N
·b
L2
a
tan(x) dx
n
7i
7i
²7 Σ ( 2 + 7²²) mm (2 + 7²4)
In
n
and b =
rb
= [₁²₁
2
and f(x) =
f(x) dx
Transcribed Image Text:Express the following limits as integrals. n 3π 3πk 14₁ = limetan (6x + 30²) (a) n→ +∞ n k=1 where a = (b) L₂ = lim where b L₁ = = n→+∞ N ·b L2 a tan(x) dx n 7i 7i ²7 Σ ( 2 + 7²²) mm (2 + 7²4) In n and b = rb = [₁²₁ 2 and f(x) = f(x) dx
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