We can see that the limit along any line through (0,0) is 0, as well as along other paths through (0,0) such as x=y^2 and y=x^2. So we suspect that the limit exists and equals 0; we use the Squeeze Theorem to prove our assertion. 0≤ (xy)(√ (x^2+y^2))≤ x ...
Thus the limit doesn't exist.结果一 题目 Find the limit, if it exists, or show that the limit does not exist. I/0 答案 结果二 题目 Find the limit, if it exists, or show that the limit does not exist. 答案 . On the x-axis, f(x,0)=0 for , so as along the x-axis. ...
f(x, y) →-1 as (x, y) →(0, 0) along the y-axis(See Figure 4.) Since f has two different limits along two different lines, the given limit does not exist. (This confirms the conjecture we made on the basis of numerical evidence at the beginning of this section.)...
百度试题 结果1 题目Find the limit or show that it does not exist.lim_(x→∞)(x^4-3x^2+x)/(x^3-x+2) 相关知识点: 试题来源: 解析 ∞ 反馈 收藏
解析 f is a rational function, so it is continuous on its domain. Since f is defined at (1,1), we use direct substitution to evaluate the limit: limlimits _((x,y)→ (1,1)) (2xy)(x^2+2y^2)= (2(1)(1))(1^2+2(1)^2)= 23....
Find the limit or show that it does not exist. {eq}\displaystyle \lim_{x \to \infty} \left(e^{-2x}\cos x\right) {/eq} Squeeze Theorem: The squeeze theorem is a mathematical theorem that can be used to evaluate the limits of functions. To make ...
One long-distance flight consumes fuel which a car uses in several years' time, but they cause the same amount of pollution. So, some people think that we should discourage non-essential flights, such as tourist travel, rather than limit the use of cars. To what extent do you agree or ...
Calculate the following limits, showing all your steps, or show that the limit does not exist. Consider \lim_{x\rightarrow -1} (\frac{-3}{(x+1)^2}). (a) Use a table of values to determine the limit. (b) Wh...
Compute the limit or show that it doesn't exist. \lim_{(x,y) \rightarrow (0,0)} \frac{x^2 - xy}{\sqrt x - \sqrt y }, x > y > 0 Calculate the limit, or show that it does not exist. \lim_{\theta \rightarrow 0} \dfrac{\theta \tan{\theta{1 - \...
Find the following limit or show that it does not exsis. this wruting abouv the picture i provided is what chegg ai picked up from my own calculatuons of the problem. Please refer to the entire question and complete all the steps and parts...