Limit Problem Involving Trigonometric Functions and Square Roots

Math Problem Statement

lim_{x→0} (sin^3(2x)) / ((x+1) - √(10 + 2x))

The given expression is the following limit:

[ \lim_{x \to 0

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Limits
Trigonometric Functions
Square Roots
L'Hopital's Rule

lim_{x→0} sin(x)/x = 1
L'Hopital's Rule for indeterminate forms 0/0
Chain rule for derivatives

L'Hopital's Rule
Squeeze Theorem

Undergraduate (Calculus I or II)

Limit Calculation of sin(3x) / (√(5x+4) - 2) using L'Hopital's Rule

Limit Problem Involving L'Hôpital's Rule and Trigonometric Functions

Limit Calculation for sin(x) - √3 cos(x) over sin(3x) at x = π/3 using L'Hôpital's Rule

Limit Calculation Involving L'Hopital's Rule and Trigonometry

Evaluate Limit as x Approaches 0 of (x * sin 3x) / (1 - cos 4x) using L'Hôpital's Rule