ExamPrepWay Logo ExamPrepWay
Back
75s
AP Exams AP Calculus Limits Easy Practice Question
Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Learn + solve

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 3 Multiple Choice Question
Question
Evaluate lim(x→0) [sqrt(x+4)-2]/x.

More Questions

Previous Previous question Next Next question
Prev Next
Back to Topic
AP Exams AP Calculus Limits
75s
Question 3
Easy Marks: 1.0 Practice Question
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) [sqrt(x+4)-2]/x.

Topic Practice
Previous Next

Keep Practicing This Pattern

Solve one more related question
Topic Recommendations

Recommended Next Practice

Use these suggestions after solving the practice questions above.

Practice Similar Questions
PYQ Collection
Concept tagged
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 Q10128: Evaluate lim(x→0-) |x|/x. Limits · Easy Q10129: Let f(x)=x+2 for x<1 and f(x)=4-x for x≥1. What is lim(x→1) f(x)?
Smart Links

Related Practice & Revision

Helpful next steps for practice, revision, and timed tests.

Next Actions

Limits Revise Formula Sheet Revise AP Calculus Continue Topic Practice Practice

Revision Path

Next in AP Calculus Derivatives A safe nearby topic in the same subject sequence Continue Next in AP Calculus Integrals A safe nearby topic in the same subject sequence Continue

Related Topics

AP Calculus · 20 questions Derivatives Same subject practice path Practice AP Calculus · 20 questions Integrals Same subject practice path Practice AP Physics · concept family Mechanics Related by topic wording and exam context Revise AP Physics · concept family Electricity Related by topic wording and exam context Revise AP Chemistry · concept family Chemical Reactions Related by topic wording and exam context Revise AP Biology · concept family Cell Biology Related by topic wording and exam context Revise

Related Articles

Same exam category SAT Math Complete Guide An independent SAT Math study guide for algebra, advanced math, data analysis, geometry, and timed pract… Read Same exam category SAT Reading and Writing Guide An independent SAT Reading and Writing guide for evidence questions, words in context, grammar, transiti… Read Same exam category ACT English Grammar Guide A focused USA study guide for act english grammar guide with topic planning and practice strategy. Read Same exam category GRE Quant Formula Guide A focused USA study guide for gre quant formula guide with topic planning and practice strategy. Read

Related Topics

Derivatives Integrals

Go Premium

  • First 10 questions free per topic
  • Detailed Explanation
  • Video explanations
  • Audio solutions
  • Premium question access
View Premium Plans

Question Palette

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Keep Navigating

Limits Topic Page All AP Calculus Topics AP Exams Overview More Mock Tests

Similar Questions

Q10125: Evaluate lim(x→2) (x^2 + 3x - 1). Q10126: Evaluate lim(x→3) (x^2 - 9)/(x - 3). Q10128: Evaluate lim(x→0-) |x|/x.