We want to compute the following limit. ( O 0/0 O 100 O 0x O 00 O 0/0 O ∞-∞ 4 lim t-2 t t2 4 a) As t approaches 2 this gives an indeterminate form of the type b) When we put these fractions over a common denominator, we can simplify the expression so that it takes the form (금 4 t2 q(t) ' where q(t) is a polynomial. Answer. q(t) = 4 c) Compute lim t-2 using your result from part (b). t2 Answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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We want to compute the following limit.
4
lim
t2 \t-2
t2
4
a) As t approaches 2 this gives an indeterminate form of the type
O 0/0 O 10 O 0x O 00 O 0/0 0 -∞
b) When we put these fractions over a common denominator, we can simplify the
expression so that it takes the form
(금
4
t2
q(t) '
where q(t) is a polynomial.
Answer. q(t) =
4
c) Compute lim
t-2
using your result from part (b).
t2
Answer.
Transcribed Image Text:We want to compute the following limit. 4 lim t2 \t-2 t2 4 a) As t approaches 2 this gives an indeterminate form of the type O 0/0 O 10 O 0x O 00 O 0/0 0 -∞ b) When we put these fractions over a common denominator, we can simplify the expression so that it takes the form (금 4 t2 q(t) ' where q(t) is a polynomial. Answer. q(t) = 4 c) Compute lim t-2 using your result from part (b). t2 Answer.
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