G1. With paper and pencil, sketch the graph of a function y = f (x) with the following properties: lim f(x) = 1, X118 lim f(x)=-∞, lim f(x) = ∞, X-47 lim f(x)=-x. im _ƒ(x) = -∞, x-0- x-0+ lim f(x) = 2. X-3- lim f(x)=-4, lim f(x) = 4. X-3+ Once you have solved this problem using pen (or pencil) and paper:

Q: 8.Consider the graph of a function f(x). & E a) lim f(x) 5. b) lim f(x) 10 -5 10 -10 c) lim f(x) d)…

A:

Q: lim_f(x) x→-8

A: Limit

Q: 2. Sketch a function, g(x), where lim g(x) = 0 and lim_g(x) = 3. = x→2+ x→2- 3 HH 2

A: Using limits

Q: In the above space, draw the graph of a function with ALL of the following properties: (a) f(0) =…

A: The conditions given for the function is : a) f(0)=-2 i.e. the curve passes through the point…

Q: Lm x+h -区 メ+h -x , h#o.

A:

Q: For each item, graph the function f (x). Use the graph to estimate lim f(x), lim f(x), and lim f(x).…

A:

Q: f(x) = √x, a = 1

A: Givenf(x)=x a=1To findlimh→0f(a+h)-f(a)h

Q: is y=5 a linear equation? Explain.

A: A linear equation is given by: y = mx + C where  m is the slope  and C is the y-intercept

Q: 2x2 + x +7 if x -2 (a) Find lim f(x). x→-2- (b) Find lim f(x). x-2+ (c) Find lim f(x), or show that…

A:

Q: x² + x - 2 24. f(x) %3D x + 2 lim f(x) (B) lim f(x) (C) lim f(x) (A) x -2"

A:

Q: f(x)=(1-2x)/x, find lim f(x) approaches 3 and limit f(x) approaches 4

A: Given that the function is,

Q: lim f(x) = 3 ; im g(x) = 12; lim f(x) = -3 X-->c 4 X->C Xー>C

A: Given;- limx→cfx=34, limx→cgx=12, limx→chx=-3 limx→akfx=klimx→afx lim  x→afx-gx=limx→afx-limx→agx…

Q: 7. lim (x2 + 1)i – x

A: