90-94. Useful factorization formula Calculate the following limits using the factorization formula x" a" = (x − a) (x²−¹+ ax² n-2 where n is a positive integer and a is a real number. x² + 1 92. lim x-1 x + 1 n-3 + a²x' + ... + a -²x + a²-¹), (Hint: Use the formula for x7 - a² with a = : -1.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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90-94. Useful factorization formula Calculate the following limits using the factorization formula
where n is a positive integer and a is a real number.
7
x + 1
-1
n-2
x² − a² = (x − a) (x²−¹ + ax"
92. lim
x→−1 x + 1
n-3
+ a²xn-
+ +an-²x + a²-¹),
(Hint: Use the formula for x7 - a² with a =
-1.)
Transcribed Image Text:90-94. Useful factorization formula Calculate the following limits using the factorization formula where n is a positive integer and a is a real number. 7 x + 1 -1 n-2 x² − a² = (x − a) (x²−¹ + ax" 92. lim x→−1 x + 1 n-3 + a²xn- + +an-²x + a²-¹), (Hint: Use the formula for x7 - a² with a = -1.)
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