Question
U
Problem 5: (a) Evaluate:
6 x cos(5a+ 2)
lim
x-0
9x- 4
(Hint: The squeeze theorem may be helpful.)
(b) Prove that:
1-cos(a)
2
1
lim
Bonus: Billy Bob Joe says that the following limit:
-2x
7
lim
x5 2-25
x2-3x10
does not exist, since the numerator is non-zero and the denominator is zero in both terms. Explain
why Billy is wrong, and calculate the value of the limit.

Image Transcription

U Problem 5: (a) Evaluate: 6 x cos(5a+ 2) lim x-0 9x- 4 (Hint: The squeeze theorem may be helpful.) (b) Prove that: 1-cos(a) 2 1 lim Bonus: Billy Bob Joe says that the following limit: -2x 7 lim x5 2-25 x2-3x10 does not exist, since the numerator is non-zero and the denominator is zero in both terms. Explain why Billy is wrong, and calculate the value of the limit.

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