Full file at https://testbankuniv.eu/Calculus-for-Scientists-and-Engineers-Early-Transcendentals-1st-Edition-Briggs-Test-Bank 210)
210) y
y = x2 - 2 f(x) = x2 - 2 x0 = 3
8 7
L=7 ε=1
6
3
0
2.83
x
3.16
NOT TO SCALE A) 0.17
B) 4
C) 0.33
D) 0.16
A function f(x), a point x 0 , the limit of f(x) as x approaches x 0 , and a positive number ε is given. Find a number δ > 0 such that for all x, 0 < x - x 0 < δ ⇒ f(x) - L < ε. 211) f(x) = 3x + 10, L = 13, x0 = 1, and ε = 0.01 A) 0.003333
211)
B) 0.01
C) 0.016667
D) 0.006667
C) 0.000556
D) 0.01
C) 0.013333
D) 0.006667
212) f(x) = 9x - 7, L = 2, x0 = 1, and ε = 0.01 A) 0.001111
212)
B) 0.002222
213) f(x) = -3x + 9, L = 6, x0 = 1, and ε = 0.01 A) 0.003333
213)
B) -0.01
214) f(x) = -9x - 7, L = -34, x0 = 3, and ε = 0.01 A) 0.000556
214)
B) -0.003333
C) 0.002222
D) 0.001111
215) f(x) = 2x2, L =98, x0 = 7, and ε = 0.4 A) 7.01427
215)
B) 0.01427
C) 0.0143
D) 6.9857
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove the limit statement 216) lim (2x - 1) = 9 x→5
216)
x2 - 25 217) lim = 10 x→5 x - 5
218) lim x→7
217)
3x2 - 19x- 14 = 23 x-7
218)
51
Full file at https://testbankuniv.eu/Calculus-for-Scientists-and-Engineers-Early-Transcendentals-1st-Edition-Briggs-Test-Bank