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

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

Q1:

Evaluate limsinsin→𝑥.

  • A0
  • B12
  • C1
  • D2

Q2:

Find limsintan→9𝑥10𝑥−2𝑥2𝑥.

  • A−110
  • B910
  • C19
  • D1
  • E1910

Q3:

Determine limcos→9−97𝑥3𝑥.

Q4:

Determine limsintan→2𝑥.

  • A25
  • B2
  • C45
  • D0

Q5:

Determine limsin→9+14𝑥2𝑥.

  • A9
  • B192
  • C14
  • D12

Q6:

Find all the values of 𝑚 for which the limit of the function exists as 𝑥→0, when 𝑓(𝑥)=−6𝑚−18𝑥,𝑥<0,12𝑥𝑚𝑥,𝑥>0.costan

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

Q7:

Find limsintan→7𝑥+33𝑥8𝑥.

  • A192
  • B58
  • C0
  • D2
  • E294

Q8:

Find limtan→9(𝜋−6𝑥)6𝑥.

Q9:

Find limsin→2−2𝑥4𝑥−2𝜋.

Q10:

Find limcotcsc→6𝑥4𝑥8𝑥.

  • A13
  • B12
  • C112
  • D3
  • E0

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