Question
Asked Feb 12, 2020
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Because of their connection with secant lines, tangents, and instanta-
neous rates, limits of the form
f(x + h) – f(x)
lim
occur frequently in calculus. In Exercises 57–62, evaluate this limit
for the given value of x and function f.
57. f(x) = x², x = 1
58. f(x) = x², x = -2
59. f(x) — Зх — 4, х %3D 2
60. f(x) = 1/x, x = -2
61. f(x) = Vx, x = 7
62. f(x) = V3x + 1, x = 0
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Because of their connection with secant lines, tangents, and instanta- neous rates, limits of the form f(x + h) – f(x) lim occur frequently in calculus. In Exercises 57–62, evaluate this limit for the given value of x and function f. 57. f(x) = x², x = 1 58. f(x) = x², x = -2 59. f(x) — Зх — 4, х %3D 2 60. f(x) = 1/x, x = -2 61. f(x) = Vx, x = 7 62. f(x) = V3x + 1, x = 0

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