# Question Solved1 Answer-5 -4 -3 f(x) 3 2 -1 0 --1 2 3 4 5 6 B --31 Consider this graph of the function f (). Which of the following statements are true and which are false? lim f(x) = lim f(x) [Select) 2-3 3 limf (a) = f (1) [Select] f () has a vertical asymptote at * = 4. Select) f (x) has a vertical asymptote at =6. Select ] lim f (x) = lim f (2) Select] - 4 -- lim f (x) = 0 [Select] lim f () = [Select] 16 The limit lim f (x) exists, but limf (2) does not exist. Select] 4 6

BHUE7R The Asker · Calculus

Transcribed Image Text: -5 -4 -3 f(x) 3 2 -1 0 --1 2 3 4 5 6 B --31 Consider this graph of the function f (). Which of the following statements are true and which are false? lim f(x) = lim f(x) [Select) 2-3 3 limf (a) = f (1) [Select] f () has a vertical asymptote at * = 4. Select) f (x) has a vertical asymptote at =6. Select ] lim f (x) = lim f (2) Select] - 4 -- lim f (x) = 0 [Select] lim f () = [Select] 16 The limit lim f (x) exists, but limf (2) does not exist. Select] 4 6
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Transcribed Image Text: -5 -4 -3 f(x) 3 2 -1 0 --1 2 3 4 5 6 B --31 Consider this graph of the function f (). Which of the following statements are true and which are false? lim f(x) = lim f(x) [Select) 2-3 3 limf (a) = f (1) [Select] f () has a vertical asymptote at * = 4. Select) f (x) has a vertical asymptote at =6. Select ] lim f (x) = lim f (2) Select] - 4 -- lim f (x) = 0 [Select] lim f () = [Select] 16 The limit lim f (x) exists, but limf (2) does not exist. Select] 4 6
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Solution: (1) lim_(x rarr3^(-))f(x)=lim_(x rarr3^(+))f(x)=0.5True(2) lim_(x rarr1)f(x)=1!=f(1)=2*5False(3) lim_(x rarr4)f(x)rarr ooquad Trueso it has vertical arymptete at 4(4) lim_(x rarr6^(-))f(x)rarr ooquad so it has vertical asymlim_(x rarr6^(+))f(x)rarr-oo-pt ... See the full answer