(1) Find the following limits, if they exist, or indicate that they do not exist. If the limit does not exist, but the function values tend towards ∞ or -∞, indicate that also. (a) lim-12-1 4-r (b) lim, +42 5x+2 (c) limx→∞ √²+x+? (d) lim x→∞ (x+1/x)x²+x²+1 2+2x+158x³

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Must answer all 4 questions. Don't solve only one or 2 or 3.solve all the subparts. Else skip it and leave it for others to do. 

(1) Find the following limits, if they exist, or indicate that they do not exist. If
the limit does not exist, but the function values tend towards ∞ or -∞,
indicate that also.
(a) lim, 12-1
4-r
(b) lim,→4 √x-2
5x+2
(c) limex √²+x+7
(d) lim,
x→→∞ (x+1/x)x²+r²+1
2+2x+158x³
Transcribed Image Text:(1) Find the following limits, if they exist, or indicate that they do not exist. If the limit does not exist, but the function values tend towards ∞ or -∞, indicate that also. (a) lim, 12-1 4-r (b) lim,→4 √x-2 5x+2 (c) limex √²+x+7 (d) lim, x→→∞ (x+1/x)x²+r²+1 2+2x+158x³
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