How to Calculate Limits Using Tables & Algebra (Finding Tangent Lines)

Описание: 📓 Interactive Notebook: https://ludium.ai/courses/calculus-1/...

What do you do when plugging in a number gives you 0/0? This video breaks down two powerful methods for evaluating limits—tables and algebraic simplification—and shows how limits unlock the slope of tangent lines. You'll see exactly how to find the tangent line to y = x² at (1,1) using the limit of secant slopes.

Key concepts covered:
• Why 0/0 is a signal to investigate, not a final answer
• Using tables to observe what value a function approaches from both sides
• Algebraic simplification: factoring and canceling to reveal the limit
• How limits of secant slopes give us tangent line slopes (the foundation of derivatives)
• Understanding functions with "holes" where limits exist but the function is undefined

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ORIGINAL SOURCE
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This video distills concepts from:
   • Calculus 1 Lecture 1.1:  An Introduction t...  

Full credit to the original creator for the educational content. Please visit the original lecture for the complete, in-depth presentation.

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