AP Calculus – Finding a Limit | Rationalizing Technique with Square Roots (II)

In this video, we evaluate a limit problem where substitution leads to an indeterminate form. To simplify, we use the rationalizing technique by multiplying with the conjugate of the square root expression.

[Key Concepts]
If substitution results in 0/0 with a square root, try rationalizing.
Multiply numerator and denominator by the conjugate to eliminate radicals.
After simplification, substitute again to find the final value.

[Study Tip]
Always remember: Square root + 0/0 = Rationalize!
This technique is one of the most common tools for AP Calculus limit questions.

📘 Selected from the textbook Calculus for AP by Ron Larson & Paul Battaglia.
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