Sketch the graph of the function and use it to determine the values of a for which limx--a f (x) exists. if x < -1 f(x) = {x? if –1< x<1 if x > 1 1+x 2 – x

Q: Sketch the graph of if x 2 f(x) = if and use it to determine the values a for which lim f(x)…

A:

Q: 2. Let f(x) = x² + 1 if x < 1 √x² + 1 (x - 2)² if x ≥ 1 (a) Find limx→- f(x) and limx→+ f(x). (b)…

A: The given function is: fx=x2+1        if x&lt;1x-22     if x≥1 To find: (a) limx→1-fx   and…

Q: Show by means of an example that limx-&gt;a [f(x) + g(x) ]may exist even though neither  limx-&gt;a…

A:

Q: Consider the function Pue au Marka 1- x2, x1 f(x) = 2, %3D X = 1 Graph the function f(x). Find…

A: (Since it is not mentioned which question to solve and question 4 part 2 is not clear so Solving the…

Q: Suppose that a function ƒ(x) is defined for all real values of x except x = c. Can anything be said…

A:

Q: Evaluate lim f(x), where f(x) = e value of "p" assuming that lim f(x) exists. Nx + (M + 77) if x<5…

A:

Q: Sketch the graph of a function with the given limits.

A: Given the function with the limits.

Q: Let ƒ(x) = (x^2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01,…

A: Consider the given function:

Q: Let f(x) = 3x + 2. Use the € – d definition to prove that lim 3x +2 1. x→1 Definition. E-d proof.

A:

Q: Find two functions f and g such that lim f(x) and lim g(x) do not exist, but lim [f(x) + g(x)] * 0…

A:

Q: Compute

A: The limit of the function is the value of the function when the value of the arguement is…

Q: Please evaluate the limit in terms of the constants involved.

A: Given information:The given limit function is

Q: If a function is defined at a, but lim f(x) does not exist, how is x→a this shown on the function's…

A: If the limit of a function f(x) does not exist at a, then the function is not continuous at a and…

Q: Let ƒ(x) = (x2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01,…

A: Simplify f(x) first for x not equal to -3 x y -3.1 -6.1 -3.01 -6.01 -3.001 -6.001…

Q: -f(x): a. lim

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: Show that if lim f(x) = lim h(x) = 3, and if f(x) ≤ g(x) ≤h(x) for 2-0 x-0 all z € (-1,1), then lim…

A: Given that limx→0fx=limx→0hx=3 and fx≤gx≤hx for all x∈−1,1. We have to prove that limx→0gx=3.…

Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

Q: Sketch the graph of the f(x) function and use it to determine the values of a for which lim f (x)…

A:

Q: Sketch a possible graph of a function that satisfies the conditions below. (0) 0, lim f(x) - 1; lim…

A:

Q: what is the lim f(x)9(x) if lim g(x) ln f(x) = +∞ x→a x→a

A:

Q: Sketch the graph of an example of a function that satisfies all of the given conditions limx)=0 lm…

A: TO FIND: Correct Graph of the function

Q: If the limit of two different functions, lim f(x) and lim g(x) XC exist, then so does lim[f(x) -…

A: for example limx-&gt;2f(x)= 5limx-&gt;2g(x)=∞ f(x) and g(x) exists now find the limit f(x)-g(x) when…

Q: . Sketch the graph of the f(x) function and use it to determine the values of a for which lim f (x)…

A:

Q: Sketch the graph of a function f (x) that satisfies the following conditions: limx -→ -o f (x) = o ;…

A: Follow the steps to sketch the graph.

Q: Let ƒ(x) = (x2 - 9)/(x + 3). Make a table of the values of ƒ at the points x = -3.1,-3.01, -3.001,…

A: Given, fx=x2-9x+3   x=-3.1 x=-3.01 x=-3.001 x=-3.0001 x=-3.00001 fx=x2-9x+3 -6.1 -6.01 -6.001…

Q: Give examples of functions f(x) and g(x) with limx→∞ f(x) = ∞ and limx→∞ g(x) = 0

A: We want to find two functions f(x) and g(x).

Q: 1. Determine the lim f(x) if f(x) : = {x*. if #2 lo, if x = 2 2. Find lim f(x) if f (x) = 2*

A: (1) Given that, f(x) = x2 ; if x is not equal to 2 f(x) = 0 ; if x = 2 Then we get, As x -&gt; 2,…

Q: Find. 1) a. lim f(x) and b. lim f(x). x-0- Find the limit, if it exists. x2 + 4 2) lim X-2 x+2 3)…

A: Here function is given and we need to find limit

Q: 1 Let f(x) =. 1,0sx<2 .Determine lim f(x) -x² + 4x – 3, x 22 X2+

A:

Q: Consider a function x-1 if x 1 (a) Find lim f (x) if it exists. If it doesn't exist, explain why.…

A:

Q: Find. 1) a. lim f(x) and b. lim f(x). 3- 4-

A: Answer and explanation is given below..

Q: Sketch the graph of an example of a function that satisfies ALL of the conditions lim f(x) = 0o, lim…

A:

Q: Find the specified limit. x',x -1 lim f(x) - ? 2. Find the limit (if any) Jx-5 lim x-25 x- 25

A:

Q: Sketch the graph of the function and use it to determine the values of a for which lim f(x) exists.…

A:

Q: Consider the piecewise function x² +2x- 1, if x < -2 -x +1, if - 2 < x < 1 x² + 1, if x 21 f(x) =…

A:

Q: Given the function f(x) = sqrt(x-2), please evaluate the limit. limx→∞ f(x)

A:

Q: Let f(x)= -2x^2-x, if x1 Find limx-1- f(x).

A:

Q: Let ƒ(x) = (x2 - 1)/( | x| - 1). Find limx→ -1 ƒ(x) algebraically.

A: Given f(x)=(x2-1)/(|x|-1). We need to find limx→ -1 ƒ(x).

Q: Determine the value for c so that lim f(x) exists. x-3 f(x) = 5**, *+c, for x 3

A:

Q: Suppose limy-e- f(x) = I and limx-e- g(x) = m. Prove that limxe-(3f (x) + 4g(x)) = 31 + 4m.

A:

Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: Show by means of an example that limx-&gt;a [f(x) g(x) ]may exist even though neither  limx-&gt;a…

A: Now,         Let,f(x)=5x−x|x|, g(x)=5x+x|x| :

Q: Let G(x) = (x + 6)/(x2 + 4x - 12). Find limx→ -6 G(x) algebraically

A: we have to find the limit of the function  limx→-6x+6x2+4x-12

Q: Let f(x) be given by x²+1 if x 2 Find lim f (x) X-2

A: Topic = Limits

Q: Suppose that f (x) is a function such that lim f(r) and lim f (r) both exist. Does this mean lim…

A:

Q: Let ƒ(x) = (x2 - 9)/(x + 3). Find limx→ -3 ƒ(x) algebraically

A: f(x)=x2-9x+3

Q: Let if x < 1 f(x) = {(x - 2)² [x² + 1 [(x - 2)² if x = 1 (a) Find limx→- f(x) and limx→+ f(x). (b)…

A: Given: For (a), limx→ 1-x2+1Plug in the value x=1=12+1=2limx→ 1+x-22Plug in the value x=1=1-22=1

Q: Sketch the graph of a function f such that: limf(x)=0 X-7

A: We take a function  f(x)= 1/(x-7)