Determine the value for c so that lim f(x) exists. X-3 f(x) = 3**c, for x<3 -x+8, for x>3 %3D

Q: (a) lim [f(x) + 3g(x)]

A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

Q: Given that lim f(x) = -1, lim g(x) = - 3, and lim h(x) = 4, find X 2 x2 lim [f(x) • h(x)] g(x) f(x)…

A: limx→2f(x)=-1, limx→2 g(x)=-3, limx→2 h(x)=4

Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2– 3x². h O -3x -6x O 6x O None of these

A: The given function f(x)=2-3x2

Q: Find lim h(x), if it exists. X> 00 f(x) = 3x + 2x + 3 (a) f(x) h(x) = lim h(x) X> 00 f(x) (b) h(x)…

A:

Q: Given lim f(x) = 7 and lim g(x) 8, evaluate: %3D x8 x8 lim (7f(x) + 5g(x)) = %3D lim (7+ 5f(x)) = 7…

A:

Q: Using the graph of f(x) given below lim f(x) x→2 O 2 O 1.5 O 1 does not exists I|

A: Given graph of f(x)  we find x→2lim f(x)

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: V. Given: (3 – x, x 2 a. Draw the graph of f(x). b. Determine the lim f(x) and lim f(x). c. Does the…

A: Topic : limit as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the value of the postive constant c, such that  lim x->infinty ((x-c)/(x+c))^x=1/4

A:

Q: Determine the value for c so that lim f(x) exists. X-3 -7, for x3

A:

Q: A. Find the value of a to make the lim f(x) and f(c) equal at all possible value of c within the…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 10 Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) 1-2

A: Find the limit from the graph

Q: A = lim R, = lim [f(x1)Ax + f(x2)Ax+.+ n-00 x< 10. Using the above definition, determine whic

A:

Q: The table gives the values of g near 3, but not equal to g. Use the table to estimate lim g(x) = X-3…

A: The given table is,

Q: 22. If lim f(x) = 18 and lim g(x) = -1.5, find the lim %3D %3D x-a L4g(x). xa А. 6 -3 С. -1 D. -7 В.

A: 22) If limx→afx=18 and limx→agx=-1.5 , find the limx→afx4gx

Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

Q: Evaluate the limit given

A:

Q: Let f(x) = X-4 x - 4x (A) lim f(x) X→0 Find the indicated quantities, if they exist. (B) lim f(x)…

A: Please refer to the image below

Q: a3 + 3x? Question 3. Evaluate the following limit: lim x-3- x2 – x – 12

A:

Q: Suppose that g(x) s f(x) < h(x) for all x + 2 and suppose that lim g(x) = lim h(x) = -5. X-2 X-2 Can…

A: It is given that gx≤fx≤hx and limx→2gx=limx→2hx=-5.

Q: 3. Define the function f(x) (a) Evaluate lim f(x) x →0+ (b) Evaluate lim f(x) x-1 = 2x n+m m x & Q m…

A: Here we use the way of function definition. And use the definition of limit of function at a point…

Q: Given x + 5, x 3 Find (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f (x) and lim f(x) X-3 X-3 X-4…

A:

Q: Given: -2 < x < 0 2, x + 1, x = 0 0 < x < 2 0, f(x) = -x, x = 2 2 < x < 4 х — 4, What is the lim…

A: Given:  fx=x+1,-2&lt;x&lt;02,x=0-x,0&lt;x&lt;20,x=2x-4,2&lt;x&lt;4

Q: Evaluate the limit given

A: we can move the limit inside the square

Q: Find lim f(x), lim f(x), lim f(x), and f(a), if they exist. Xa

A: Consider a function f(x) which has a hole at x=c. Then the right, as well as the left limit of this…

Q: 1. Using the graph of f(x), what is lim, -f(x)? A. - 00 B. 0 C. -2 D. Does not exist E. 00 A

A: The graph of f(x) is represented by two infinite curves.

Q: If f(x) > 0 for all æ and A = lim f(x) exists, then A > 0.

A:

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

A:

Q: Using the graph of f(x) given below lim f(x) = x→2 O 2 O 1.5 1 does not exists

A: Graph of the function is given, we have to find the value of limit at x=2

Q: Please show step-by-step solutions

A:

Q: Evaluate the limit given

A: Given:

Q: Determine the value for c so that lim f(x) exists. x→5 1 f(x) 5*+c, for x 5 The value of c is. II

A: Given function: fx=15x+c,     for x&lt;5-x+9,      for x&gt;5

Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

A:

Q: Given g(x) = x-|x+3|+3 determine lim g(x) %3D |x||x+3| x--3

A:

Q: 3 Given f(x) = (4-a)3 Evaluate lim→4+f(x)

A:

Q: Let f(x)=x'e* the value of lim [f (x) is: 4 x 1 a) 1 b) | e

A: Given   f(x)=x2ex2 We have to find 14limx→-1f(x)1x

Q: Evaluate lim 7(&+h)-}(x) for the given value of x and function f. h h→0 f(x)= +7, x= 10

A: We have to find the limit

Q: Determine the value for c so that lim f(x) exists. X→3 1 f(x) = 3*+c, for x3

A: Given that,

Q: valuate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−3  x2 + 3x/x2 − 4x…

A:

Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

A: “Since you have asked multiple questions, we will solve ONE question for you. If you want any…

Q: x +1 what is lim g(x)? Using the graph of g(x) x –2 z→2+

A:

Q: A. Evaluate the given limits. 1. lim 0 X-1

A: Topic = Limits

Q: 2. a) Find lim g(x), lim g(x) and lim g(x) x→1- x→1+ x→1 b) Find f(1). c) Is g continuous at x = 1?…

A: Follow the procedure given below.

Q: Given that lim f(x) = 4 X-3 lim g(x) = -5 X-3 lim h(x) = 0, X-3

A:

Q: x2 + 8x + 12 Evaluate the limit: lim x→ - 6 x + 6

A:

Q: 3 Given f(x) = (4-a)3 Evaluate lim,-+4f(x)

A:

Q: 2. For the function f(x) defined by O if z is an integer 1 if r is not an integer f(1) = (a) Sketch…

A: The given function f(X) is defined as, fx=0,  if x is an integer1,  if x is not an integer To sketch…

Q: Evaluate the limit given

A:

Q: If g«EOf«) and f(x) =A. What is the value of A ? lim x+ g(x) A 0 B does not exist Infinity Finite…

A: