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Multiple Choice Practice on Limits - Calculus I | MATH 1910, Exams of Calculus

Tennessee Technological University (TTU)Calculus
Prof. David Smith

Material Type: Exam; Professor: Smith; Class: Calculus I; Subject: MATH Mathematics; University: Tennessee Tech University; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 07/31/2009

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Math 1910 - Multiple Choice Practice on Limits
1. Find the value of xat which the curve y=3x
x+4 has a vertical asymptote.
A) โˆ’1 B) 3 C) 2 D) โˆ’4
E) 1 F) 0 G) โˆ’2 H) โˆ’3
2. Find the value of the limit limxโ†’2x3โˆ’8
xโˆ’2.
A) 8 B) 4 C) 12 D) 2
E) 6 F) 1 G) 0 H) 3
3. Find the value of the limit limxโ†’1xโˆ’1
โˆšxโˆ’1.
A) โˆš2 B) 1 C) โˆ’1 D) โˆ’โˆš2
E) 2 F) โˆ’4 G) 4 H) โˆ’2
4. Find the value of the limit limxโ†’โˆž
x3+3xโˆ’7
4โˆ’3x2.
A) 1/3 B) โˆ’1/3 C) โˆ’โˆž D) โˆž
E) 1 F) โˆ’1 G) 3 H) โˆ’3
5. For what value of xdoes the function (xโˆ’2)2
x2โˆ’4fail to have a limit?
A) โˆ’1 B) 1 C) 1/2 D) 0
E) โˆ’1/2 F) 2 G) โˆ’2 H) None of the above.
6. Find the value of the limit limxโ†’โˆž ๎˜€โˆšx2+xโˆ’x๎˜.
A) โˆ’โˆž B) โˆ’2 C) โˆ’1 D) 0
E) 1/2 F) 1 G) 3/2 H) โˆž
7. Find the value of the limit limxโ†’0โˆ’4(x+1)/x.
A) 4 B) โˆ’2 C) โˆžD) โˆ’1/4
E) 1/4 F) โˆ’4 G) 2 H) 0
8. Find the value of the horizontal asymptote of the curve y=3x
x+4 .
A) y= 1 B) y= 2 C) y= 3 D) y= 4
E) y= 0 F) y=โˆ’2 G) y=โˆ’1 H) y=โˆ’3
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Math 1910 - Multiple Choice Practice on Limits

  1. Find the value of x at which the curve y = (^) x^3 +4x has a vertical asymptote. A) โˆ’ 1 B) 3 C) 2 D) โˆ’ 4 E) 1 F) 0 G) โˆ’ 2 H) โˆ’ 3
  2. Find the value of the limit limxโ†’ 2 x x^3 โˆ’โˆ’ 28. A) 8 B) 4 C) 12 D) 2 E) 6 F) 1 G) 0 H) 3
  3. Find the value of the limit limxโ†’ 1 โˆšxxโˆ’โˆ’^11. A) โˆš 2 B) 1 C) โˆ’ 1 D) โˆ’โˆš 2 E) 2 F) โˆ’ 4 G) 4 H) โˆ’ 2
  4. Find the value of the limit limxโ†’โˆž x^34 +3โˆ’ 3 xxโˆ’ 2 7. A) 1/3 B) โˆ’ 1 / 3 C) โˆ’โˆž D) โˆž E) 1 F) โˆ’ 1 G) 3 H) โˆ’ 3
  5. For what value of x does the function (x xโˆ’ (^2) โˆ’2) 42 fail to have a limit? A) โˆ’ 1 B) 1 C) 1/2 D) 0 E) โˆ’ 1 / 2 F) 2 G) โˆ’ 2 H) None of the above.
  6. Find the value of the limit limxโ†’โˆž^ (โˆšx^2 + x โˆ’ x). A) โˆ’โˆž B) โˆ’ 2 C) โˆ’ 1 D) 0 E) 1/2 F) 1 G) 3/2 H) โˆž
  7. Find the value of the limit limxโ†’ 0 โˆ’ 4 (x+1)/x. A) 4 B) โˆ’ 2 C) โˆž D) โˆ’ 1 / 4 E) 1/4 F) โˆ’ 4 G) 2 H) 0
  8. Find the value of the horizontal asymptote of the curve y = (^) x^3 +4x. A) y = 1 B) y = 2 C) y = 3 D) y = 4 E) y = 0 F) y = โˆ’ 2 G) y = โˆ’ 1 H) y = โˆ’ 3
  1. Find the value of the limit limxโ†’ 2 โˆš^36 x^3 + 4x^2. A) 3 B) 4 C) 5 D) Does not exist. E) 6 F) 7 G) 8 H) None of the above.
  2. Find the value of the limit limxโ†’ 1 tanโˆ’^1 (xโˆ’^1 1) 2. A) 0 B) 1 C) 2 D) ฯ€/ 4 E) ฯ€/ 2 F) ฯ€ G) โˆž H) Does not exist
  3. Find the value of the limit limxโ†’โˆž^ (^ e 4 )x. A) โˆž B) e^4 C) 1 D) โˆ’ 1 E) 0 F) โˆ’โˆž G) ฯ€/ 2 H) None of the above.
  4. Find the value of the limit limxโ†’โˆž cos(x + 1/x). A) 1 B) โˆ’ 1 C) 0 D) Does not exist E) โˆ’ฯ€ F) ฯ€ G) 1/2 H) None of the above
  5. Find the value of the limit limxโ†’โˆ’ 2 โˆ’ ln(x + 2). A) 0 B) โˆž C) โˆ’โˆž D) e E) 1 F) โˆ’ 1 G) e^2 H) None of the above
  6. Find the value of the limit limxโ†’โˆ’โˆž 1 e/xxโˆ’โˆ’^11. A) 0 B) 1 C) 2 D) Does not exist E) โˆ’ 1 F) โˆ’ 2 G) โˆž H) None of the above
  7. Find the value of the limit limxโ†’โˆ’ฯ€/ 4 tan x. A) 0 B) 1 C) โˆ’ 1 D) Does not exist. E) โˆš 2 / 2 F) โˆ’โˆš 2 / 2 G) โˆž H) None of the above.

Solutions: 1.D 2.C 3.E 4.C 5.G 6.E 7.H 8.C 9.B 10.E 11.E 12.D 13.H 14.B 15.C