A) If o< 8s82, then W( 8i) s w( 8z) B) fox) is uniformly continuous [aib] iff on lim w(8) こ6 c) If x>0, then : w(8)s (+d) W(8).

Q: x3+64 is: 3- the limit of this function lim_ -4 2x²+6x-8 30 b)- 24 26 c)- 5 5

A: Topic = Limits

Q: 3. Let the function f :R →Rbe defined as follows: [3x–1 if x> 3 f (x)={x² – 2 if -2<x<3 2x+3 ifx<-2…

A: Given f(x) = 3x-1ifx&gt;3x2-2if-2≤x≤32x+3ifx&lt;-2

Q: where x3 = 5x1 + 8x2 [x3] W : X: x = |X2 X-

A: The given subset W is: W= x :  x=x1x2x3    where  x3=5x1+8x2

Q: lim xln(x+2) +0←x

A: We have to solve the given limit.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.