Math Problem Statement
Solution
Let's address the two limit problems visible in the image.
Problem 5:
Solution:
To solve this, we will break it down step by step.
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Use the small-angle approximations for sine and tangent when :
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Now, substitute these approximations into the expression: [
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Math Problem Analysis
Mathematical Concepts
Limits
Trigonometry
Indeterminate Forms
Formulas
sin(x) ≈ x for small x
tan(x) ≈ x for small x
L'Hopital's Rule
Theorems
L'Hopital's Rule
Small Angle Approximation
Suitable Grade Level
Grades 11-12 (Pre-Calculus or Calculus)
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