5 Epsilon-Delta Limit Proofs you NEED! | The ULTIMATE Calculus Masterclass!

We intuitively explain how to arrive at rigorous ε-δ (epsilon-delta) limit proofs and formally write down the ε-δ proofs for the following limits (with timestamps):

00:00 (1) lim_{x tends to 3} (5x - 9) = 6

05:16 (2) lim_{x tends to 5} (x^2 - 2x - 10) = 5

17:16 (3) lim_{x tends to 3} (x + 2)/(x + 7) = 1/2

29:56 (4) lim_{x tends to -1} x^3 + 1 = 0

41:23 (5) lim_{x tends to 9} √x - 5 = -2

The video is designed for calculus students and real analysis students who want to deeply and intuitively understand ε-δ proofs for limits, the motivation to arrive at them, how to write them down rigorously etc. The examples we work through range in level from beginner to advanced, so by the end of the video, you will have mastered the fundamentals of arriving at and writing down rigorous ε-δ proofs! 🥳

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