lim f (x) f(c) a) lim f(x) X--15 b) lim f(x) -0 c) limf(x) d) imf(x)

Q: evaluate the limit.

A: Given:

Q: lim メーマ- X + | クニュメも A

A:

Q: Lim (x-2x) X>-1

A: Limit of a function at a point is the value the function tends to as we approach that point. Limit…

Q: 5-lim メ→1 1-X 一

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: lim x approaches -2  ............. (x + 2)/[(x^2 + 5)^1/2 - 3]

A: The limit approaching to certain point of an expression can be evaluated by applying the limit point…

Q: limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

A:

Q: limx-> f(x)=3    find limx->1((f(x))2+2)

A:

Q: lim xe-x

A: We have to evaluate the limit: limx→∞xe-x Rearranging the question using exponent rule a-m=1am,…

Q: Sketch the graph of an example of a function f thatsatisfies all of the given conditions.

A: As f(0) = 3, so there is closed circle at the point (0, 3). The left-hand limit, right-hand limit,…

Q: lim X-1

A:

Q: 5. lim f(x) = +o, lim f(x) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3! x+1+ and f(-1) = 0

A:

Q: x²- 25 (a) lim x+5 x- 125 x²-25 (b) lim x00 x-125 x²-25 (c) lim x+-5 x -125

A: We need to evaluate the following:

Q: Find the limit. lim x--> infinity  x2/ ex

A: limx→∞ x2ex= ∞∞After putting limits it's ∞∞ form;So using L . Hospital rule:limx→∞ddxx2ddxex

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

A: Given: limx→1fx=∞……1limx→3-fx=0……2limx→3+fx=-∞……3

Q: Lim x approaches to - infinity (5-1/x)

A:

Q: Evaluate the limit limx>infinity x2e-x

A: Consider the given limit limx→∞x2·e-x

Q: lim x approaches 9 ........ [(x)^1/2 - 3]/(x - 9)

A: limx→9 x-3(x-9)When put x=9, then00 form occur

Q: lim x+1-1

A:

Q: lim x→1 √2-x-x x-1

A: We need to evaluate the value of the following limit limx→12-x-xx-1

Q: what is the :lim x→-2 (x^2 +3x+1)/x+2 is ?

A: Consider the following limit: limx→-2x2+3x+1x+2 Left hand limit: The function grows without bound:…

Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

Q: Final Value Theorem:- 6, lim xin) lim xCt) ヒ→ lim (1-z) Xcz) (火(00)に

A:

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

A: let f(x) be a function, has the propertieslimx→1f(x)=∞ , limx→3-f(x)=0 , limx→3+f(x)=-∞

Q: (x² – 2, x 0, x→0*

A: Given, fx=x2-2,    x&lt;02-x2,    x≥0

Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

Q: Using: lim f(x) = 5 and lim g(x) = 5, evaluate %3D x-3 x-3 lim x-3 f(x)+ g(x) 3f(x) Limit = B..

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

Q: 6. lim f(x) = , lim f(x) = 0, lim f(x) = -∞, %3D X-2- lim f(x) = 0, lim f(x) = 0, f(0) = 0 X→文

A: Proceed as shown

Q: x-2| Find lim x2 x-2

A:

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: using L'Hospital's Rule, what is limx-&gt;1+ (1/x-1) - (1/lnx)

A: compute the limit as follows.

Q: lim x->1 x4-1/x-1

A:

Q: Give an example of two functions f and g such that limx->0f(x) and limx->0g(x) do not exist, but…

A: Give an example of two functions f and g such that limx-&gt;0f(x) and limx-&gt;0g(x) do not exist,…

Q: Limit of a quadratic function Prove that lim x xS5 25 using the precise definition of a limit.

A: We find that,

Q: Calculating limits Determine the following limits. lim 11x - 11 + x2 and lim 1x - 11 + x2 xS-

A: Given, limx→-∞x-1+x     and    limx→∞x-1+x

Q: lim f (x), where f (x)={18-7x for x<9                                    ={x2-3x for 9 less than or…

A: Explanation is given below..

Q: f(2) = lim x--> 1-      (1/f(x))= lim x-->1-       (f(1+x))=

A:

Q: X - 2 2. Evaluate lim using methods from this class. I-2 - to

A: The limits are one of the most significant tools of analyze any given function at a given point. To…

Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

Q: lim (1 + x→0- X

A:

Q: lim_(x→-inf)((1-2x)/3x) Find the limit and show proof

A: The limit of even function is given as follows :

Q: x-2 Evaluate: lim x--1- x2+2x+1

A:

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: lim x²e-x

A: we have to calculate limit by using L'hospital rule

Q: [3-x x 2 a) Find lim X-2+ f(x) and lim X-2 f(x) b)Dose lim f(x) X-2 exist ? why?

A: We use the definition of the existence of two sided limit to answer the question.

Q: lim f(x) and lim f(x) both --3+ r-3-

A: We have to consider the given statement is true or false according to the given information

Q: lim f(x)=3 x-->5- and lim f(x)=1 x-->5+

A:

Q: 3. lim f(x) = -2, X-2 4. X-3 lim f(x) = +00, lim f(x) = 2 and f(2) = 0 lim f(x) X-3* %3D = -00

A:

Q: lim x→8 f(x) = 4  and limx→8  g(x)=8   , evaluate limx→8  f(x) +g(x)  /7f(x)   Limit =

A: Given,