Suppose that f (x) is a function such that lim f(r) and lim f (r) both exist. Does this mean lim f(x) exists as well?

Q: What is lim1 f (x) ? X

A: Find your answer below

Q: b. Find lim (xv (xVx²+1-x²)

A:

Q: If lim fx) -6 х+1 х— 1 – 6 10 , evaluate lim f(x).

A:

Q: a. Estimate the value of lim f(x).

A:

Q: What is the definition of lim f(x)?

A:

Q: True or false: If lim f(x) = f(a), and x1 is closer to a than x2, then f(x1) is closer to f(a) x→a…

A: The given statements is: If limx→af(x)=f(a)  and x1 is closer to a than x2 then fx1 is closer to…

Q: Sketch and find the area bounded by y=&sect and y=-4 sin²t:

A: While plotting the graph of  y=12sec2(t) and y=-4sin2(t), we cannot find any intersecting points. So…

Q: If 1 < f(x) < x² + 2x + 2 for all x, find lim f(x). X-1

A: Explained below

Q: Plot the function f(x) then evaluate lim,-1- f(x) -x - 2 if r -1

A: Given, fx=-x-2       if x&lt;-12                if x=-1x3             if x&gt;-1

Q: Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

A: Topic :- limits

Q: Evaluate x +4 lim₂+−1+ f(x) if f(x) = { -x+1 x -1

A: