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- Suppose g(x)<h(x)forx∈(0,1)∪(1,2) both limx→1g(x)andlimx→1h(x) exist. Must limx→1g(x)<limx→1h(x)? true or false1. Is it possible that f(2) = 5 but limx→2f(x) = 7? If so, what kind of function can satisfy this?Is there a value of a for which limx1 3x^2+ax+a+3/x^2+x-2 exists? Enter the value of a if such a exist otherwise enter 0.
- If x4 <=ƒ(x)<= x2 for x in [-1, 1] and x2<=ƒ(x) <= x4 for x <-1 and x> 1, at what points c do you automatically know limx-->c ƒ(x)? What can you say about the value of the limit at these points?15.2.21 #10 Evaluate the limit. lim x^2-5xy/x-5y (x,y)→(40,8)6. Evaluate the following limitsa. limx→9 3−√9 / 9−xb. lim x→0 √1+x−√1−x / xc. lim x→−2 x+2 / x2+z−2