Is the function continuous at x=2? Explain/Justify.limlimits _(x→ -2^+)f(x)=-3, limlimits _(x→ -2^-)f(x)=4, and f(-2)=2 相关知识点: 试题来源: 解析No, f(x) is not continuous1) f(-2)=22) limlimits_(x→-2)f(x) dne3) f(-2)≠limlimits_(x→-2)f(x)...
Is this function continuous? Definition. A function is saidto be continuous on the interval[a,b] if it is continuous at each point in the interval. Note that this definition is also implicitly assuming that both f(a) and limx→af(x) lim x → a exist. If either of these do no...
Consider g(x)=\frac{8}{x 6} \text{ on } (6,13) . Is this function continuous on the given interval? If not, give the x value where the function is not continuous. Determine where the function m(x) = (x+3)/((x-3)*(x-5)) is continuous. (Give the answ...
If f(x)=xsin 1x for x≠q 0 and f(0)=0 then, limlimits _(x→ 0)f(x)=0=f(0)Thus, this function is continuous at 0. In (A), limlimits _(x→ 0)sin 1x does not exist; in (B), f has aremovable discontinuity; and in (D), f has an infinite discontinuity.反馈 收藏 ...
A. it is continuous B. it is not continuous C. we can't determine D. the statement is invalid 相关知识点: 试题来源: 解析 B。按照反证法,已知“如果一个函数是连续的,那么它是可导的”,而现在一个函数不可导,那么反过来它不连续。反馈 收藏 ...
Analysis: We know from the title that the value of is , but as this function approaches , its limit is they're not equal to each other as this function approaches , which means so , and its limit is If a function is continuous at a point, then the limit of that point is equal to...
百度试题 结果1 题目Give the intervals) on which the function is continuous. f(x)=(sqrt)(4-ex^2) 相关知识点: 试题来源: 解析 f(0)=2Both are same ft^n is continous always 反馈 收藏
f(x,y)=\((array)l (xy)(x^2+xy+y^2) &( if)\ (x,y)≠q (0,0) 0 &( if)\ (x,y) = (0,0)(array). The first piece of f is a rational function defined everywhere exceptat the origin, so f is continuous on ^2 except possibly at the origin. f(x,0)=0/x^2=0 for...
【解析】T he function f(z,y)=" is a rational function and therefore continuous except on the line =o. T he function gt)=arctant is continuous everywhere. So the composite functiong(f(,y)= rctan y/x)=h(x,y) is continuous except where =o. T he graph in Figure shows the breaki...
F(x,y)= (1+x^2+y^2)(1-x^2-y^2) 相关知识点: 试题来源: 解析 F(x,y)= (1+x^2+y^2)(1-x^2-y^2) is a rational function and thus is continuous on its domain \( (x,y)|1-x^2-y^2≠q 0\) =\( (x,y)|x^2+y^2≠q 1\) 反馈 收藏 ...