Theory says that if lim x --> a f(x) equals b, then lim x --> a (f(x))^2 equals b^2. So we can square f to get a simplified function of the form p(x)/q(x) where p, q are polynomials. This should trigger you, as polynomials simplify to constants when taking the derivative. So you can just start applying L'hôpital's rule however many times you need and doing this will give 4. Since this 4 represents the b^2, our answer is sqrt(4) = +/- 2. Sign analysis shows that in f, if x goes to infintiy we get inf/(-inf), so the -2 is the correct answer. Hence lim x --> infinity of f(x) = -2 Its an amazing way of getting rid of square roots. *Edit why the fk is my text crossed out
@childrenofkorisАй бұрын
you're a genius, i tested by substituting the value of x to 10,000 integer and its came close to value of -2 , so basically any limits related to infinity, with any variables will only involve the power degree of the D and N from the expression, and other constants can be omitted, pure genius :) i love it
@Svabby11 ай бұрын
Don't you want to divide everything by the highest exponent from the denominator? So x^3? For the first example
@EricPham-gr8pg6 ай бұрын
4 Because as we square up both parts Then we get (1+4x^6)/(4-4x3+ x^6) As x get to near infinity we had ((4x^6)+1 )/(1x^6) So 4 is nearly correct because 1/x^6 is too small
@Idkwhattonamess Жыл бұрын
I was confused at first, but when you explained how to simplify with the 2x^2 + 5/3x^3 + 2x + 3 example, it made so much more sense
@boguslawszostak17849 ай бұрын
After dividing the numerator and denominator by the highest power of x in the denominator: If the highest power in the numerator is greater than 0, the limit as x→∞ approaches infinity (+∞ or −∞), depending on the signs of the term. If the highest power in the numerator is equal to 0, the limit as x→∞ exists and is finite and easy to calculate. If the highest power in the numerator is less than 0, the limit as x→∞ approaches zero.
@fortyacresАй бұрын
you can also multiply both the numerator and denominator by 1/x^3 and simplify before taking the limit
@shivalichainani587111 ай бұрын
You are a lifesaver
@ZainAli-nk1rq9 ай бұрын
Amazingly explained,thank you so much
@Divine-Education-19802 ай бұрын
Which country
@panashepanaxe629 Жыл бұрын
Thank you mam Rebecca.well xplained
@PatwariVivek.8 ай бұрын
I like it so much ❤
@awusacollins Жыл бұрын
Very helpful!!
@arslanmoghal54727 ай бұрын
Good explanation 👍
@calcwithRebecca7 ай бұрын
Thanks 🙂
@paulwood34604 ай бұрын
👍👍👏👏
@somebody72706 ай бұрын
Thanks!
@eoeoeoei822611 ай бұрын
❤❤thank youuu
@bisiberh1451 Жыл бұрын
Thanks
@李家生-j2v10 ай бұрын
-2
@李家生-j2v11 ай бұрын
-2
@NurHadi-qf9kl Жыл бұрын
1/2
@PatwariVivek.8 ай бұрын
❤😮😂😅hi
@ghamoz9 ай бұрын
Sono infiniti dello stesso ordine, immedito il limitr
@chuckc36658 ай бұрын
you spent 8 minutes to do a problem that can be done in 8 seconds. you better not to upload videos any more
@lopsyd27728 ай бұрын
tapohaaa
@markowenrayos36587 ай бұрын
She didn't only solved the proble but also explained very well. So think before write your stupid comment.
@chuckc36657 ай бұрын
she explained to the stupid@@markowenrayos3658
@kornelviktor69856 ай бұрын
Dont be so toxic bro
@abueghan13635 ай бұрын
Why man. She's not solving for you okay buh those who have challenges so you better think before write