1) Let f(x) be the function shown. (Answer "DNE" if the limit does not exist). (a) Find_lim_ f(x) = (b) Find lim f(x) =_ x0 (c) Find lim f(x) = (d) Findlim f(x) =_ x-2 (e) Determine if lim f(1+h)-f(1) is positive, negative, or zero. h→0 h Explain why? 5-4-3-2 -2 -34 3 4 5 6 7 8

Q: B. Continuity or Discontinuity. Write Continuity if the given is continuous and if Discontinuity. 1.…

A:

Q: 1. Let f(x) = 7+10. Find (A) lim f(x). (B) lim f(x). (C) lim f(x). 2²-1-2 1²-7x+10° x-5

A:

Q: Evaluate the limit using L'Hospital's rule if necessary 12 1 + lim

A:

Q: The limit that can be used to evaluate S(x- 3) dx is, if f(x) = x - 3: k(S-2) O lim, E (2+ 2) ().…

A: Given, ∫25(x-3) dx ⇒f(x) = x-3 To find: Accurate area by using limit. Solution. Divide the interval…

Q: e. lim_f(x) lim f(x) i. f(1) 2 2 b. lim f(x) f. N j. lim_f(x) lim f(x) 2 2 m. Write the equations…

A: Since you have asked a question with multiple sub parts , we will solve the first three sub parts…

Q: lim_ f(x) and f(1). x-1- 4) Say f(x) = 15(x-3)2(x-4)² 6x(x-2)(x+5)² Find lim f(x). X18 5) With f as…

A:

Q: evaluate the limit lim (x + 1)(3x^2 − 9) x→2

A:

Q: -|x|, h(x)=20-x², 4x-1, A) lim h(x) = x-5+ B) lim_h(x) = X115 C) h(3) = x≤-5 -5 3

A:

Q: Suppose lim f(x) = 7, lim g(x) = -4. 818 x48 x³ f(x) - 6x - 5 + 9x - 7 lim xxx³g(x)

A: The given limit is: limx→∞fx=7, limx→∞gx=-4 To find the value of limx→∞x3fx-6x-5x3gx+9x-7

Q: Why does this equal 11 and not 9?

A:

Q: x + 2, 4. If g(x) = }VT6 – x² - 4 4 4.a) lim g(x) x-4 4.b) lim g(x) X-4 4.c) lim g(x)

A: Given function is: gx=x+2,  x<-416-x2, -4≤x≤44-x,  x>4     4(a) To find the value of limx→-4gx

Q: If lim f(x) = 6 and lim g(x) = -4, find the following. X-5 X-5 (a) lim [f(x) + g(x)] X-5 (b) lim_…

A: we have to find the limiting value

Q: 9x²-7 If f(x) = what is limf(x)? Use a strategy OTHER THAN a table approach, a graphical approach,…

A:

Q: The graph below is the function f(x) 5+ 4 3 2+ 01 -5 -4 -3 -2 -1 4 -2 -0-3 -[-←x -1 -4- -5+ Find lim…

A: The graph of the function  is given below.To find the following.

Q: If lim f(x)/x^2=-2 find lim f(x) and lim f(x)/x

A:

Q: form a piecewise function by using exponential, quadratic and linear unction. Domain for the…

A: We need to find a piecewise continuous function using exponential, quadratic, and linear functions…

Q: f(x) = (x²+3, x<-3 8x+1, -3 < x < 5 B 5 <x m_f(x)=¯ f(x) = [ -3- lim_f(x) = 2-3+ lim f(x) = 2-5+…

A:

Q: Write the end behavior for the graph

A: NOTE: Refresh your page if you can't see any equations. . from the graph, we can write the end…

Q: P lim_ f(x) = x--00 lim f(x) = X-80 X lim f(x) = X-80 lim f(x) = x- X

A:

Q: If lim,3 f(x) = -2 and lim,-3 g(x) = 7, calculate %3D %3D im ((x + 1) . f(x)² + *+2 g(x) x→3 The…

A:

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: As we can see from the graph, the left-hand side limit of the function at x=-10 is infiniteso we can…