1. hw 8 (1) In section 2.2, do exercise 7, 11, 12.
(2) In section 2.3, do exercise 2, 36, 49, 50, 51, 52, 53.
(3) In section 2.5, do exercise 36
(4) In section 3.2, do exercise 7, 9, 10, 13, 24, (5) In section 3.3, do exercise 9, 11, 13, 14, 31
(6) In Section 3.4, do exercise 4, 8, 14, 21, 25, 26, 29, 30, 42, 47, 48.
(7) Evaluate the limits.
(a) lim
x→0
sin(mx)
sin(nx). Here m, n ∈ N.
(b) lim
x→0
tan x − sin x sin3x . (c) lim
x→0
sin 5x − sin 3x sin x . (d) lim
x→0
sin(a + 2x) − 2 sin(a + x) + sin a
x2 .
(e) lim
x→0
1 − cos x cos 2x cos 3x 1 − cos x .
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