3. 3 – 8x° - 23x + 39x + 100 2 Determine lim 2 X→- 00 25x - 90x – 175 The limit is (Type an integer or a simplified fraction.)

Q: z2 -6x +36 Find lim I +6 O 36 O 108 The limit does not exist.

A: To find limx→-6x2-6x+36x+6

Q: (b) Find the following left- and right-hand limits at the vertical asymptote x = -6. Enter I for co,…

A:

Q: Q3: A) Find the limits below 1) lim (x,y)—(0,0) x² + sin²y 2x2 + + y²

A:

Q: lim (Vx + 45 V:

A: Given,          limx→∞x+45-x

Q: Find the limit. /h² + 10h + 11 - /11 lim h→0* h² + 10h + 11 - /11 lim h h→0*

A:

Q: 3. Show that the largest value of o that can be used for some e > 0 if lim (2+ 5x) = 17 is エ→3 anx"…

A:

Q: Along the path z= e find 2. lim (2,4)→(1,0) y-4zy 3x-y-3

A: Here, we have to reduce this limit to a limit in a single variable by using the equation of curve.…

Q: 1. Find the limit. t² 4 8 lim t-2 +3

A:

Q: Find the limit (1+2)(1+2x)(1+3z)-1 lim 0 O 3 6. O 1 None of these

A: We need to find the limit limx→01+x1+2x1+3x-1x.

Q: 2.14 Show anx" + ... a12 + ao lim n an bn .. provided that b, # 0.

A:

Q: 8. Calculate the following limits. 3 + 4x² + 2y? xy – 2x – y + 2 (a) lim 2x2 + y? (b) lim…

A: (a) Limit does not exist. (b) The limit is zero.

Q: = - 11, Suppose g is a function which has continuous derivatives, and that g(0) = 2, g'(0): g''(0) =…

A:

Q: 16x4+9y12 (x,y) (0,0) 4x²+3y6 Show that lim does not exist.

A:

Q: s*(2t-2)² dt (a) Find the limit (if exist): lim x 2х-1

A: Result 1 : If limx→af(x)g(x) = 00 , then by L hospital's rule limx→af(x)g(x)= limx→af'(x)g'(x)…

Q: (-1)"f" cost =1--+ 4! 2 (2n)! In(1+t) =t-+ 3 -.+(-1)*-"4 +... n Yukarıda verilen cost ve In(1+x)'in…

A:

Q: 6. Evaluate the limits. sin(0-4) а. lim Ө-0 Ө-4 4w b. im woo 20w+1

A: It is required to calculate the limits of the following expressions:For part (a):

Q: (t + At)2 – 7(t + At) + 3 – (t2 – 7t + 3) lim At0 At

A:

Q: 1. Solve the following limits. (a) lim 1-- V1+ r2 x Inr (b) lim 2-0 I+ In r 2 + sec (3r) (c) lim…

A:

Q: Find the horizontal asymptote of f (z) = 8z-822-240z 3z-3z2-60z Section 3.4 Oy = %3D Oy = 4 Oy= Oy =…

A: Solution-

Q: Ql(i) Prove that Lim t* ... /2n²+1 2n²+n]

A: The series is Lim12n2+1+12n2+2+......+12n2+n=12

Q: x- 2 x <4 Estimate lim Ax) where fx) = %3D x+2 x24 12 10 -8- 8. 6 2 Limit does not exist.

A: Check the value of function nearer to given point of limit if they are equal only then limit will…

Q: (a) ' Compute the following limits 7x3-5x+1 (i). limr→0 4p3+a²+x-8* (ii). lim,0 V5x+1–1 5x (iii).…

A: a) limx→∞7x3-5x+19x3+x2+x-8= limx→∞x37-5x2+1x3x34+1x+1x2-8x3limx→∞7-5x2+1x34+1x+1x2-8x3=…

Q: is lim x = inf (xn) as x, y. What Express answer and = 3n lim sup (xn) where Xn = [(-1)³ ]+2?

A:

Q: 1 (a) Define what it means by for y = f(x). %3D * for y = 3x2 – 2x + 1. %3D (b) Using the defintion…

A:

Q: Q3: A) Find the limits below x² + sin²y 1) lim (x,y) (0,0) 2x² + y² 2) lim (x, y)-(1,1) x² - 2xy +…

A:

Q: () 9. lim cos エ}1o0 Find Enter I for o0, -I for- 00, and DNE if the limit does not exist. Answer

A: This question is related to limits , We will solve it using given information.

Q: 2. lim (ex – 1)lnx X0+

A: (2). The given limit is: limx→0+ex-1lnx As we know that, the second indeterminate form is: ±∞±∞ ;…

Q: [4] (a) Show that lim (xa)-(0,0) 2x+y? y-mx, or along any parabola y= exists and it's approaches to…

A:

Q: п-1 1 The value of the limit lim is equal to - 1+ (2k/n)? n k=0 1 dt 1+ t2 1 dt 1+ t? 2 1 P 1+4 dt 1…

A:

Q: Along the path x = e find lim (1,y)→(1,0) y2-6ry 3x-y-3 O 2 O does not exist O -3 O 3

A:

Q: Can i get help with this problem step by step?

A: Here, we rationalize the denominator to get the required value of limit.

Q: 16x4+9y12 (x,y)→(0,0) 4x²+3y6 Show that lim does not exist.

A:

Q: 7. Compute the limit to infinity: 4-2+3r+1 a lim 7+3r-r+ 12

A:

Q: H.W/ using convolution theorem to find L-1

A: We have to find the Laplace inverse by using convolution theorem

Q: Q2: (a) By using " L' Hopital rules "; Find the limits of ::- (1) lim,-(n/2)-(tan x)cosx (2) lim,--0…

A: L'Hôpital's rule states that for functions fx and gx which are differentiable on an open interval I…

Q: (3+4y-y is th e of lim y+ oy +3y+4)

A:

Q: Expand xy² + 2x – 3y in powers of (x + 2) and (y – 1) upto third degree | terms.

A: Given ,  f(x,y) = xy2 + 2x - 3y  By Taylor's theorem  f(x,y) = f(a,b) + {(x-a)fx(a,b) +…

Q: Q2/ Find the following limits: 3- 5/27+81 x--00 2/12+Vt²-167 A. lim 1 В. lim-1 x+1 1-sin t С. lim #…

A: We have to find the limit of the following... A. limx→-∞t13-5t2+81142t2+t23-1612B.…

Q: Find the limit. 1 t1 5 lim 4e 4 1t t 0 t t LC

A: First we take the limit inside and simplify

Q: Please I want solution of sub-parts question 5 with step by step. Many Thanks

A:

Q: 8 lim r→8 r2 8x Enter DNE if the limit does not exist. Limit =

A: Given limit:

Q: Q2: Evaluate: 2 In cosy, [1] limy-o [; y4

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

Q: Consider the function 2+2+17-2ry+v² if (r, y) # (0,0) f(r,y) = if (1, y) = (0,0). (b) Find…

A:

Q: Is In(x² – 1) - 1) 6. Evalaute lim n cos(x)-1 r lulx2-1) lem lulx²-1)

A:

Q: 4x 7 lim 1+ Compute the limit: x→0

A: here we put value of limit then we calculate

Q: Compare the graphs of y = Vx, y = Vx, y = x, y = x², and y = x' on the interval 0 < x s 2. Write a…

A: Differentiate the expression of the slope with respect to x. For any value of x in the interval…

Q: 1-e X x2 +1 X By using the limit comparison test, the integral

A: Using, limit comparison test

Q: 13. Given the function f (x) = 2xv1 – x2. Determine the - c. Y intercept d. Vertical Asymptote(s)…

A:

Q: Find the limit of (x3+x2)1/2sin(((2)1/2pi)/x) as x approaches 0

A: To find

Q: 2x Sí“(2t-2)² dt (a) Find the limit (if exist): lim 1 2х-1

A: