QUIZ Question: For what interval of x does x represent a really good approximation to sin x centered at a = 0? Want to become a MASTER NINJA 🥷 ? Join this channel for special dojo perks! th-cam.com/channels/vFC_QgDEteF5Bawvw3i18A.htmljoin Make sure to SUBSCRIBE HERE ⬇ so you don’t miss my tips and tricks for your next exam! tinyurl.com/numberninjadave Gear Up for the Dojo! 🥋 Before you enter the Number Ninja Dojo, you gotta look the part! Grab some awesome Number Ninja swag and show your dedication to mastering math. Shop the collection here: tinyurl.com/numberninjaswag (Affiliate Links Below - As an Amazon Associate I earn from qualifying purchases.) Level Up Your Math Skills with These Must-Haves: 📚 * Conquer Exam Anxiety! 😫➡😌 My book, “Hey Anxiety, Thank You!” is packed with proven strategies to help you master calculus, banish test-day jitters, and ace your exams by first taking care of YOU. Get your copy here: amzn.to/3Y2LWKv * Crush the AP Calculus Exam! 💥 This comprehensive study guide will equip you with the knowledge and practice you need to dominate the AP Calculus exam like a true ninja. Get yours here: amzn.to/3N5pjPm * The Ultimate Calculus Companion: 🧮 This graphing calculator was my trusty sidekick throughout college. It handles complex calculations with ease and never let me down. Get yours here: amzn.to/4eBNeRS * Precision Engineering: 📏 For precise measurements in engineering and other technical fields, this ruler is a must-have. It's durable, accurate, and built to last. Grab yours here: amzn.to/4doupRk Behind the Scenes: My TH-cam Toolkit 🛠 I use VidIQ to help create the best possible TH-cam videos for you! VidIQ helps me optimize my videos, research keywords, and understand what viewers are looking for. If you're a content creator, I highly recommend checking it out. You can sign up here (and I’ll get a small commission if you do): vidiq.com/numberninjadave
@@NumberNinjaDave it's pretty good until like 0.3, so 0.295. At 0.4 it's off by 3%, and by 0.7 it's close to being off by 10%. So it depends how important your calculations are really.
I misunderstood the thumbnail. I thought you were trying to solve for sinx = x, which is obviously x=0. I didn't realize you were trying to prove that sin x = x is a good approximation.
I struggled with this thumbnail. I wanted to show the Taylor notation but it was looking cluttered. Thanks for bringing that up as I knew it would possibly be confusing
You know what freaks me out? if you put pi into the Taylor Series, you get 0. Just think about that: a polynomial made of a transcendental number raised to various powers, ends up equaling exactly 0. It's just plain nuts.
QUIZ Question: For what interval of x does x represent a really good approximation to sin x centered at a = 0?
Want to become a MASTER NINJA 🥷 ? Join this channel for special dojo perks!
th-cam.com/channels/vFC_QgDEteF5Bawvw3i18A.htmljoin
Make sure to SUBSCRIBE HERE ⬇ so you don’t miss my tips and tricks for your next exam!
tinyurl.com/numberninjadave
Gear Up for the Dojo! 🥋 Before you enter the Number Ninja Dojo, you gotta look the part! Grab some awesome Number Ninja swag and show your dedication to mastering math. Shop the collection here: tinyurl.com/numberninjaswag
(Affiliate Links Below - As an Amazon Associate I earn from qualifying purchases.)
Level Up Your Math Skills with These Must-Haves: 📚
* Conquer Exam Anxiety! 😫➡😌 My book, “Hey Anxiety, Thank You!” is packed with proven strategies to help you master calculus, banish test-day jitters, and ace your exams by first taking care of YOU. Get your copy here: amzn.to/3Y2LWKv
* Crush the AP Calculus Exam! 💥 This comprehensive study guide will equip you with the knowledge and practice you need to dominate the AP Calculus exam like a true ninja. Get yours here: amzn.to/3N5pjPm
* The Ultimate Calculus Companion: 🧮 This graphing calculator was my trusty sidekick throughout college. It handles complex calculations with ease and never let me down. Get yours here: amzn.to/4eBNeRS
* Precision Engineering: 📏 For precise measurements in engineering and other technical fields, this ruler is a must-have. It's durable, accurate, and built to last. Grab yours here: amzn.to/4doupRk
Behind the Scenes: My TH-cam Toolkit 🛠
I use VidIQ to help create the best possible TH-cam videos for you! VidIQ helps me optimize my videos, research keywords, and understand what viewers are looking for. If you're a content creator, I highly recommend checking it out. You can sign up here (and I’ll get a small commission if you do): vidiq.com/numberninjadave
@@NumberNinjaDave it's pretty good until like 0.3, so 0.295. At 0.4 it's off by 3%, and by 0.7 it's close to being off by 10%. So it depends how important your calculations are really.
I misunderstood the thumbnail. I thought you were trying to solve for sinx = x, which is obviously x=0. I didn't realize you were trying to prove that sin x = x is a good approximation.
I struggled with this thumbnail. I wanted to show the Taylor notation but it was looking cluttered. Thanks for bringing that up as I knew it would possibly be confusing
You know what freaks me out? if you put pi into the Taylor Series, you get 0. Just think about that: a polynomial made of a transcendental number raised to various powers, ends up equaling exactly 0. It's just plain nuts.
That is pretty cool!