Unit 1 Calculus Limits

Question 1: Find the limit of f(x) as x approaches 3, where f(x) = 2x + 5

• The limit is 11.

• The limit is 3.

• The limit is 15.

• The limit is 7.

Question 2: Evaluate the limit of g(x) as x approaches 0, where g(x) = (3x^2 - 2x + 1) / x

• 3

• 10

• 2

• 5

Question 3: Determine the limit of h(x) as x approaches 4, where h(x) = (x^2 - 16) / (x - 4)

• 2x - 8

• 8

• 12

• 4

Question 4: Calculate the limit of k(x) as x approaches 2, where k(x) = (x^3 - 8) / (x - 2)

• 12

• 4

• 10

• 16

Question 5: Find the limit of m(x) as x approaches 5, where m(x) = (2x^2 - 11x + 15) / (x - 5)

• The limit is 3

• The limit is 12

• The limit is 7

• The limit is 9.

Question 6: Evaluate the limit of n(x) as x approaches -2, where n(x) = (x^2 + 3x - 4) / (x + 2)

• 10

• 1

• 5

• 0

Question 7: Determine the limit of p(x) as x approaches 1, where p(x) = (x^3 - 1) / (x - 1)

• 10

• 2

• 3

• 5

Question 8: Calculate the limit of q(x) as x approaches 0, where q(x) = (sin(x) / x)

• 0

• 1/x

• cos(x)

• 1

Question 9: Find the limit of r(x) as x approaches 3, where r(x) = (x^2 - 9) / (x - 3)

• The limit of r(x) as x approaches 3 is 9

• The limit of r(x) as x approaches 3 is 0

• The limit of r(x) as x approaches 3 is 6.

• The limit of r(x) as x approaches 3 is undefined

Question 10: Evaluate the limit of s(x) as x approaches 2, where s(x) = (x^3 - 8) / (x^2 - 4)

• The limit is 6

• The limit is 4.

• The limit is 2

• The limit is 0