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Questions and Answers
What is the limit of x as x approaches 0?
What is the limit of x as x approaches 0?
- 1
- Undefined
- 0 (correct)
- Infinity
What is the value of the limit of sec(x) as x approaches 0?
What is the value of the limit of sec(x) as x approaches 0?
- 1 (correct)
- 0
- Infinity
- -1
What is the behavior of the limit of -tan(x) as x approaches π/2 from the left?
What is the behavior of the limit of -tan(x) as x approaches π/2 from the left?
- Converges to 0
- Converges to Infinity
- Converges to -Infinity (correct)
- Converges to 1
Which limit expression approaches a value, rather than Infinity or Undefined?
Which limit expression approaches a value, rather than Infinity or Undefined?
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Which expression represents a limit that is undefined?
Which expression represents a limit that is undefined?
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Study Notes
Limit Expressions
- The limit of x as x approaches 0 is 0.
- The limit of sec(x) as x approaches 0 is 1.
- The limit of -tan(x) as x approaches π/2 from the left is negative infinity
- The expression
x→π/2⁻indicates that x approaches π/2 from the left side, meaning x values slightly less than π/2. - Sec(x) is the reciprocal of cos(x)
- Tan(x) is the ratio of sin(x) to cos(x)
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