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# What is the limit of sinx as x approaches infinity?

As x approaches infinity, the y-value oscillates between 1 and -1; so this limit does not exist. Thus, the answer is it DNE does not exist. One good rule to have while solving these problems is that generally, if there is no x in the denominator at all, then the limit does not exist. Example: lim_x->oosinx=DNE lim_x->oosinx/x=0. Put $x=\frac1y$. Then $y\rightarrow 0$ as $x\rightarrow\infty$ and $\sin x=\sin\frac1y$. Choose two values of y.

28/10/2008 · you can't use l'hopital's rule for this since there is no limit for sin x as x tends to infinity, hence you cant use the rule. however you can show it using the sandwich rule basically if your function is between two other functions with the same limit, then your function will have this limit too. In other words, if the two functions between which fx lies have the same limit when approaching the same value, fx must also have that limit. So, recall that -1<=sinx<=1 This means that 0<=sin^2x<=1 Sine squared can only be positive/zero, and less than one. 24/01/2010 · Can I say that it ges to '0' just because the 1/e^x goes to '0'. Or there is a better way to solve it? It depends on how rigorous you need to be, but it goes to 0 essentially for the reason you said. you can't compute a limit of a product based solely on the limit of one of the factors. use the. By the properties of limits, we have: the limit of [sinxx] as x approaches infinity = lim [sinx] as x approaches infinitythe lim x as x approaches infinity. Since the range of the sine function, sinx, is -1 < or = sinx < or = 1. 29/12/2017 · lim x infinity sin x / x. lim x infinity sin x / x. Skip navigation Sign in. Search. Loading. Close. This video is unavailable. Watch Queue Queue. Proof Of Limit Sinx/x as x Approaches 0 Is Equal To 1 in Urdu/Hindi - Duration: 10:10. Formula Foundation Usindh 8,305 views. 10:10.

15/12/2005 · Hello Everyone, I'm doing some practice problems and I am stuck on the following limits. 1 Limit as x approaches infinity of sin^2x/x^2 Now for this one I thought that the answer would just be 1 seeing as the limit of sinx/x is 1, however the answer. 15/05/2018 · The limit equals 1/4. 3 If the DEGREE OF THE NUMERATOR IS GREATER THAN the degree of the denominator, then the limit will be either infinity or negative infinity. For ex., to find the limit, as x approaches infinity, of 3x^2 - 2x/x5, instead focus on finding the limit of the ratio of leading terms, as x approaches infinity. Without going too technical, a person might say that 1/0 is infinity, and it sounds good. But if you have a function [say fx = 1/x] and take the limit of fx as x approaches zero, then fx approaches infinity as x approaches from the right, but it approaches negative infinity as you approach from the left, therefore the limit does not exist.

10/09/2014 · Infinite Limit of sinx Solvur. Loading. Unsubscribe from Solvur? Cancel Unsubscribe. Working. Subscribe Subscribed Unsubscribe 39. Loading. Limit as x approaches negative infinity of exponential form of the tanh function - Duration: 3:19. neiljodymath 37,420 views. Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

## What is the limit of sinxx as x approches.

Knowing sinx and cosx are periodic functions and the value of these function have the range of 0 to 1, the result of xthese functions will mainly be the value of x itself. As x approaches infinity, the effect of sinx and cosx will become smaller and smaller. Therefore, the limit of xsinx/x. 14/12/2019 · Answer to: Find the limit: limit as x approaches -infinity of sin x/x. By signing up, you'll get thousands of step-by-step solutions to your. 20/04/2016 · I SHOULD HAVE BEEN WRITING LIMIT X TO 0 ALL THE WAY THROUGH,. Limit as X approaches 0 from the right of X^X BriTheMathGuy. Loading. Unsubscribe from BriTheMathGuy?. How To Find The Limit At Infinity - Duration: 13:14. The Organic Chemistry Tutor 340,370 views. 13:14. 31/08/2010 · As x gets larger and larger, e^-x gets closer and closer to zero. At the same time, sin x swings back and forth between -1 and 1. But no matter what the value is for sin x, it is multiplied by a number that gets smaller and smaller.