Because of their connection with secant lines, tangents, and instanta-
of Average Rates of Change
neous rates, limits of the form
f(x +h)-f(x)
lim
h
occur frequently in calculus. In Exercises 57-62. evaluate this limi
for the given value of x and function f.
57. f(x) = r, x= 1 58. f(x) = x?, x = -2
59. f(x) = 3x - 4x = 2 60. f(x) = 1/x, x = -2
61. f(x) = Vx, x = 7 62. f(x) = V3x + 1, x = 0
Using the Sandwich Theorem
63. If V5 - 2r? = f(x) V5 - x? for -1 sxs 1, fin
lim,- f(x).
4. If 2 - x = g(x) = 2 cos x for all x, find lim-0 g(x).
Answers
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Answer:
sbzggdvdycyegdyfurbdbsbzbggvvvvbbvvvbbhhhhdhdhdhdgdgdgdgdgdgfgd
Step-by-step explanation:
ahahshshhxhehsyxyg WA y
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