An Elusive Limit Question 6: Subtracting Nearly Identical Numbers can BREAK Calculators! https://youtu.be/GEfzOVaPwAE

In this video I explain that the reason calculators gave an unclear limit for the complicated trigonometric function is because every term was nearly identical, to the point where subtracting them resulted in a difference too small for the precision of most calculators. 

An Elusive Limit Question 4-5: Evaluating the Limit using Taylor Series (and Wolfram Alpha) https://youtu.be/GEfzOVaPwAE

In this video I go over the earlier trigonometric (and inverse trigonometric) limit and solve it by writing the numerator and denominator as Taylor series. 

#math #science #education #calculus #WolframAlpha

An Elusive Limit Question 3: Using L'Hospital's Rule 7 Times in a Row (Using Wolfram Alpha) https://youtu.be/LRLahyO4SVk

In this video I go over the previous difficult trigonometric (and inverse trigonometric) function and this some apply L'Hospital's Rule to show that its limit as x approaches 0 is equal to 1.

An Elusive Limit Questions 1, 2: Limit Depends on Calculator Precision https://youtu.be/ULTOgc1cuAI

In this video I go over a very interesting trigonometric (and inverse trigonometric) function whose limit as x approaches 0 is unclear and gives different values depending on the calculator you use.

Problems Plus 8: Volume of a Solid from its Shadows https://youtu.be/S-MGdEU9DF0

In this video I obtain the volume of the largest solid whose shadows are a square of height 1, a circle, and an isosceles triangle.

Problems Plus 7: The Physics of a Block on an Inclined Plane https://youtu.be/0ZJPy-Egfpk

In this video I go over the physics of a solid block on an inclined plane in terms of the sliding friction, weight, normal force, and applied horizontal force.