Full file at https://testbankuniv.eu/Thomas-Calculus-Early-Transcendentals-14th-Edition-Hass-Test-Bank 199) If lim f(x) = L, which of the following expressions are true? x→0 I.
lim f(x) does not exist. x→0-
II.
lim f(x) does not exist. x→0 +
III. lim f(x) = L x→0 IV. lim f(x) = L x→0 + A) II and III only
B) I and II only
C) III and IV only
D) I and IV only
Answer: C 200) If lim f(x) = 1 and f(x) is an odd function, which of the following statements are true? x→0 I.
lim f(x) = 1 x→0
II.
lim f(x) = -1 x→0 +
III. lim f(x) does not exist. x→0 A) I and II only
B) I, II, and III
C) I and III only
D) II and III only
Answer: D 201) If lim f(x) = 1, lim f(x) = -1, and f(x) is an even function, which of the following statements are true? x→1x→1+ I.
lim f(x) = -1 x→-1 -
II.
lim f(x) = -1 x→-1+
III. lim f(x) does not exist. x→-1 A) I, II, and III
B) I and II only
C) II and III only
D) I and III only
Answer: D 202) Given ε > 0, find an interval I = (1, 1 + δ), δ > 0, such that if x lies in I, then x - 1 < ε. What limit is being verified and what is its value? A) lim x-1=0 B) lim x=1 C) lim x-1=0 D) lim x-1=0 x→0 x→1 + x→1 + x→1Answer: C 203) Given ε > 0, find an interval I = (3 - δ, 3), δ > 0, such that if x lies in I, then 3 - x < ε. What limit is being verified and what is its value? A) lim x=3 B) lim 3-x=0 C) lim 3-x=0 D) lim 3-x=0 x→3 x→3 + x→3 x→0Answer: C
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Full file at https://testbankuniv.eu/Thomas-Calculus-Early-Transcendentals-14th-Edition-Hass-Test-Bank