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AP Exams AP Calculus Limits Medium Practice Question

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Solve this faster with the right shortcut first

Shortcut used: Check direct substitution first; then factor, rationalize, compare one-sided limits, or apply a standard theorem.
Solve in 3 steps:
  1. Mark the given values and the exact target.
  2. Apply the relevant formula, rule, or concept.
  3. Check the final value against the options.
Common mistake: Do not choose an option before confirming the exact demand of the question.
Question 8 Multiple Choice Question
Question
Evaluate lim(x→0) sin(7x)/x.

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AP Exams AP Calculus Limits
75s
Question 8
Medium Marks: 1.0 Practice Question

Free access limit is ending soon

Upgrade to unlock all Limits questions.

View Plans
Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Learn + solve

Shortcut used, common trap, and the fastest solving route

Shortcut used: Check direct substitution first; then factor, rationalize, compare one-sided limits, or apply a standard theorem.
Solve in 3 steps:
  1. Mark the given values and the exact target.
  2. Apply the relevant formula, rule, or concept.
  3. Check the final value against the options.
Common mistake: Do not choose an option before confirming the exact demand of the question.
Question

Evaluate lim(x→0) sin(7x)/x.

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Check direct substitution first; then factor rationalize compare one-sided limits or apply a standard theorem.
Limits · Easy Q10125: Evaluate lim(x→2) (x^2 + 3x - 1). Limits · Easy Q10126: Evaluate lim(x→3) (x^2 - 9)/(x - 3). Limits · Easy Q10127: Evaluate lim(x→0) [sqrt(x+4)-2]/x. Limits · Easy Q10128: Evaluate lim(x→0-) |x|/x.
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Q10125: Evaluate lim(x→2) (x^2 + 3x - 1). Q10126: Evaluate lim(x→3) (x^2 - 9)/(x - 3). Q10127: Evaluate lim(x→0) [sqrt(x+4)-2]/x.