Epsilon delta limit (Example 3): Infinite limit at a point

This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!

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Integral sec(x)/sin^2(x) (feat. blackpenredpen)
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Integral sec(x)/sin^2(x) (feat. blackpenredpen)

epsilon-delta definition ultimate introduction
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epsilon-delta definition ultimate introduction

The Flat-Rate AI Subscription Is Dead
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The Flat-Rate AI Subscription Is Dead

Epsilon - Delta Proof (precise definition of the limit)
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Epsilon - Delta Proof (precise definition of the limit)

Epsilon delta limit (Example 2)
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Epsilon delta limit (Example 2)

Epsilon delta limit (Example 4): Limits at infinity
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Epsilon delta limit (Example 4): Limits at infinity

Limits and Continuous Functions
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Limits and Continuous Functions

Proof of a Limit Value Using Epsilon and Delta
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Proof of a Limit Value Using Epsilon and Delta

Epsilon delta limit (Example 7): 1/x
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Epsilon delta limit (Example 7): 1/x

Delta-Epsilon proof of Infinite limit
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Delta-Epsilon proof of Infinite limit

Using the epsilon-delta defintion of a limit for a quadratic function
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Using the epsilon-delta defintion of a limit for a quadratic function

Calculus | Find Delta Given Epsilon | Limit Square Root | Example
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Calculus | Find Delta Given Epsilon | Limit Square Root | Example

Proving x^2 is continuous using the epsilon delta definition
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Proving x^2 is continuous using the epsilon delta definition

Real Analysis | Precise definition of a limit.
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Real Analysis | Precise definition of a limit.

how to easily write the epsilon-delta proofs for limits
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how to easily write the epsilon-delta proofs for limits

Epsilon-Delta Proof of Limit (Quadratic Example)
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Epsilon-Delta Proof of Limit (Quadratic Example)

Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus
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Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus

epsilon-N definition for a limit at infinity (introduction & how to write the proof)
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epsilon-N definition for a limit at infinity (introduction & how to write the proof)

How to write epsilon-delta proofs for limits? (x^3 and 1/x examples)
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How to write epsilon-delta proofs for limits? (x^3 and 1/x examples)

Finding a Delta Given an Epsilon
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Finding a Delta Given an Epsilon