Worksheet: Limits of Trigonometric Functions

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

Q1:

Evaluate limsinsin𝑥.

  • A0
  • B12
  • C1
  • D2

Q2:

Find limsin(2𝑥+3)3(2𝑥+3).

  • A13
  • B32
  • C13
  • D0
  • E32

Q3:

Find limsincos5𝑥4𝑥8𝑥.

  • A0
  • B18
  • C12
  • D58

Q4:

Find limsin2𝑥4𝑥.

Q5:

Find limtan9𝑥6𝑥.

  • A16
  • B272
  • C32
  • D0

Q6:

Find limsin4𝑥5𝑥.

  • A425
  • B15
  • C0
  • D45

Q7:

Determine limsin9+14𝑥2𝑥.

  • A9
  • B192
  • C14
  • D12

Q8:

Find limtan2𝑥15𝑥.

  • A415
  • B215
  • C152
  • D152
  • E154

Q9:

Find limcoscossin𝑥+6𝑥75𝑥.

  • A45
  • B85
  • C65
  • D35

Q10:

Find limtantan(7𝑥)9𝑥.

  • A9
  • B79
  • C63
  • D97
  • E7

Q11:

Find limtan(7𝑥)7𝜋𝑥2.

  • A27𝜋
  • B17𝜋
  • C7𝜋2
  • D27𝜋

Q12:

Find limsin(25𝑥50)(𝑥2).

Q13:

Find limsin22𝑥4𝑥2𝜋.

Q14:

Find limsintan7𝑥+33𝑥8𝑥.

  • A192
  • B58
  • C0
  • D2
  • E294

Q15:

Find limtansin𝑥7𝑥3𝑥.

  • A73
  • B13
  • C0
  • D79

Q16:

Find limcotcsc6𝑥4𝑥8𝑥.

  • A13
  • B12
  • C112
  • D3
  • E0

Q17:

Find limcostan19𝑥9𝑥9𝑥.

  • A1
  • B92
  • C12
  • D118

Q18:

Find limsin5𝑥7(𝜋5𝑥).

  • A𝜋5
  • B0
  • C57
  • D17
  • E17

Q19:

Find limtan9(𝜋6𝑥)6𝑥.

Q20:

Find limsinsinsin𝑥3𝑥2𝑥3𝑥.

  • A2
  • B12
  • C6
  • D24

Q21:

Find limtan4(12𝑥)2𝜋𝑥.

  • A0
  • B2𝜋
  • C4𝜋
  • D4𝜋
  • E12

Q22:

Find limsintan2𝑥(6𝑥𝜋).

  • A13
  • B3
  • C13
  • D3

Q23:

Find limtansin2𝑥3𝑥7𝑥.

  • A421
  • B27
  • C0
  • D221

Q24:

Determine limsintan5𝑥9𝑥5𝑥.

  • A9
  • B0
  • C1
  • D95
  • E15

Q25:

Find limsintan9𝑥+4𝑥(2𝑥)8𝑥+6(6𝑥).

  • A27
  • B0
  • C128
  • D23
  • E29

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