The initial substitution of x = a yields the form Simplify the function algebraically, or use a table or graph to determine the limit. If necessary, state that the limit does not exist. x² + 3x – 54 lim x→6 x2. - 36 ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x + 3x - 54 O A. lim (Type an integer or a simplified fraction.) - 36 O B. The limit does not exist.

Q: Q3: Find the limit for the following functions: - 4 1- lim(- x→2 x-2 - x2 -4 2- lim(x – Vx2 + x) x-1

A:

Q: х3-2х-1 lim x-3

A: This question is based on Limits

Q: The initial substitution of x = a yields the form Simplify the function algebraically, or use a…

A: Given: limx→32x2+5x-33x2-9

Q: Assign values of x using the three special functions, and to get the values of y using scientific…

A: 1. f(t)=sintt   t f(t) 1 0.84147 0.5 0.95885 0.1 0.99833 0.01 0.99998 0.001 0.99999…

Q: For the function graphed here, show that

A: The given graph of the function is,

Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

A:

Q: find the limit of function (a) as x→∞ and (b) as x→-0. (You may wish to visualize your answer with a…

A: Given, f(x)=π-2x2

Q: find the limit of function (a) as x→∞ and (b) as x→-xo. (You may wish to visualize your answer with…

A: Given that, h(x)=3-2x4+2x2

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: The initial substitution of x = a yields the form . Simplify the function algebraically, or use a…

A: First simplify the given expression by factoring both numerator and denominator.

Q: Find the limit by rewriting the fraction first. xy – 2y – 3x +6 lim x-2 (x.y) (2,5) x 2 ху - 2у -3х…

A: Solution: The objective is to find the value of the given limit

Q: The figure below shows the graph of a quadratic function, f(x), whose limit at an unspecified…

A:

Q: Q:: Find the limit for the following functions: - 2- lim 2r-3)(vI-1) 2x2+x-3 x-1

A: Factories the denominator and cancel out the common terms and put the limit .

Q: 14 Find the slope of the function ƒ(x) = -x - 1, by the definition of a limit. Slope =

A:

Q: 4.) x²-9 lim X-3 x-3

A:

Q: (3) Evaluate the limit, if it exists. (h + 7)² – 49 h (a) lim h0 1² + 3x – 4 (b) lim 1² + x +12

A:

Q: Q: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(-1) 2x²+x-3 2- lim X-1

A: Please see the explanation below

Q: a. As x approaches -1, f(x) approaches what value on the first table? On the second table? b. Do…

A:

Q: Determine the limit by sketching an appropriate graph. for x <4 S-3x - 4 8) lim f(x), where f(x) = {…

A:

Q: Use the graph of f to find the indicated limit and function value: y 4- 4-3-2- 234 a. lim f(x) b.…

A: By given graph

Q: The initial substitution of x = a yields the form Simplify the function algebraically, or use a…

A: NOTE: Refresh your page if you can't see any equations. .

Q: V100-1000 lim y-10

A:

Q: Consider the following. |x + 3| lim x--3 x + 3 y 4 2 -10 10 -2 -4 Use the graph to find the limit…

A:

Q: For the function (1- x if x 1 evaluate the limit lim f(x). メー1 (If a limit does not exist, enter Ø…

A: This question is based on Limits calculation of a function.

Q: Use the limit definition of the derivative f(x) – f(a) f'(a) = lim х — а to find f'(a) in each case.…

A: Consider the given function: fx=x3-7 Limit definition for derivative says: f'x=limx→afx-fax-a Find…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 7(x + Δx) + 4 − (x2…

A: A limit tells us the value that a function approaches as that function input get closer and closer…

Q: What is the value if a so that f(x) has a slant asymptote of y = x + 3. x²+ax+5 What is the limit of…

A: Given: fx=x2+ax+5x+1 We know that slant asymptote is possible when the degree of the polynomial in…

Q: Find the limit of the following functions through the numerical method by completing their…

A:

Q: Find lim f(x) for the given piecewise function. 2x + 1 if x 6 If the limit does not exist, enter…

A: Solution is given below:

Q: 6) Use the graph of f to find the indicated limit and function value: y 3- 1-3-2-1 -2-

A:

Q: Find the indicated limit lim(3.x – V9x - x) 2 treat the expression as a fraction whose denominator…

A: To find the limit: limx→∞ 3x-9x2-x=limx→∞ 3x-9x2-x1 Rationalize the numerator first: Multiply…

Q: Find lim f(x) for the given piecewise function. x-6 2x + 1 if x 6 If the limit does not exist,…

A:

Q: definition showing all work for credit b.Write the equation of the tangent line to the curve above

A: Derivative: f(x)=7x-4x2 a)       h→0limf(x+h)-f(x)h=h→0lim7(x+h)-4(x+h)2-7x+4x2h

Q: Find the limit of the function lim_4-√x²+7 X - 3

A:

Q: Guess the value of the limit (if it exists) by evaluatingthe function at the given numbers (correct…

A: To determine: The value of the limit (if it exists) by evaluating the function at the given numbers…

Q: First-class postage is $0.31 for a letter weighing up to one ounce and $0.28 for each additional…

A:

Q: For the function -1 f(x) = if x 3 ' evaluate the limit lim f(x). (If a limit does not exist, enter…

A:

Q: Determine the limit by sketching an appropriate graph. 6) lim f(x), where f(x) = -2x - 5 x-4* for x…

A:

Q: First-class postage is $0.31 for a letter weighing up to one ounce and $0.28 for each additional…

A: Given: First-class postage is $0.31 for a letter weighing upto one ounce and $0.28for each…

Q: lim -2)2 x-2 x2-4 3.)

A:

Q: 2x2 -7х — 4 9) lim х-4 х2 — х — 12

A: From the given problem: limx→ 42x2-7x-4x2-x-12 So, we can simply write as: limx→…

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−3  3x2 + 3/X

A: Given, limx→-33x2+3x Use L'hospital rule to find the existence of limit

Q: lim(-3x² – 1) x-3

A: Solution:

Q: a ) find the limit. (If an answer does not exist, enter DNE.) lim x→0  x/x2+3x (b) Find the…

A:

Q: Compute the limit below. Justify your answer. V2x +15 -1 lim x+-7 X+7

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 2(x + Δx) + 4 − (x2…

A: Find the solution below

Q: Calculate the limit value: x² – x – 6 lim x--2 x + 2 Select one: O a. 00 b. 0 O C.-5 d. -3

A:

Q: Construct a table and find the indicated limit. Vx +2 If h(x) = then find lim h(x). х-2 X→2 Complete…

A:

Q: Q:: Find the limit for the following functions: - VI-2 1- lim4 X-4 x-4 2- lim 2r-3)(vI-1) X-1…

A:

Q: Q;: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(Vī-1) 2x²+x-3 2- lim X-1

A: Given that:                     1.limx→4x-2x-42.limx→1(2x-3)(x-1)2x2+x-3