Functions and limits

The limit of (x² - 1) / (x - 1) as x tends to 1 is:

• 1 0
• 2 2
• 3 Does not exist
• 4 1

The limit of sin x / x as x tends to 0 is:

• 1 1
• 2 -1
• 3 Infinity
• 4 0

The limit of (3x + 2) as x tends to 2 is:

• 1 6
• 2 2
• 3 4
• 4 8

A function f is continuous at x = a if the limit as x tends to a equals:

• 1 a
• 2 f(a)
• 3 1
• 4 0

The limit of (1 + 1/n)^n as n tends to infinity is:

• 1 1
• 2 Infinity
• 3 0
• 4 e

The limit of 5 as x tends to 3 is:

• 1 0
• 2 8
• 3 3
• 4 5

The limit of (x² - 4) / (x - 2) as x tends to 2 is:

• 1 4
• 2 2
• 3 0
• 4 Does not exist

A function is not continuous at a point if:

• 1 Its graph is a line
• 2 It is defined everywhere
• 3 The limit does not equal the function value
• 4 It is a polynomial