Lesson Worksheet: Limits of Trigonometric Functions Mathematics • 12th Grade

In this worksheet, we will practice evaluating limits of trigonometric functions.

Q1:

Evaluate limsinsin𝑥.

  • A0
  • B12
  • C1
  • D2

Q2:

Find limsintan9𝑥10𝑥2𝑥2𝑥.

  • A110
  • B910
  • C19
  • D1
  • E1910

Q3:

Determine limcos997𝑥3𝑥.

Q4:

Determine limsintan2𝑥.

  • A25
  • B2
  • C45
  • D0

Q5:

Determine limsin9+14𝑥2𝑥.

  • A9
  • B192
  • C14
  • D12

Q6:

Find all the values of 𝑚 for which the limit of the function exists as 𝑥0, when 𝑓(𝑥)=6𝑚18𝑥,𝑥<0,12𝑥𝑚𝑥,𝑥>0.costan

  • A𝑚{1,2}
  • B𝑚=1
  • C𝑚=12
  • D𝑚=3
  • E𝑚=2

Q7:

Find limsintan7𝑥+33𝑥8𝑥.

  • A192
  • B58
  • C0
  • D2
  • E294

Q8:

Find limtan9(𝜋6𝑥)6𝑥.

Q9:

Find limsin22𝑥4𝑥2𝜋.

Q10:

Find limcotcsc6𝑥4𝑥8𝑥.

  • A13
  • B12
  • C112
  • D3
  • E0

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