S(-1-2)² +5 if z+ Let f(1) 4x + 13 if a = - 2 %3D Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = %3D エ→-2- lim f(x) = I -2+ lim f(x) = f(- 2) =

Q: Vx+1 - 3 4. Find the limit (if it exists). lim %3D X-8

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: Find the limits: Vx – 1 lim x→1 x - 1 а.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1. Find the limit if it exists. V2 + t – /2 – t - lim t→0 3t

A:

Q: Find the limits by rewriting the fractions first.

A:

Q: Find the limit. 3e - 3 V1 + t - 1 4 lim 1 +t/

A: We have to find the limit of this Vector. If the limit 0/0 form, then we can use L' Hospital rule.…

Q: x2 + 0x – 4 lim x-2 x - 2 Enter I for oo, -l for -co, and DNE if the limit does not exist.

A:

Q: Find the limit. 2 lim 1 x-0 00 O 2 O 000

A: Let,

Q: x2 if x 3 | Enter DNE if the limit does not exist.

A:

Q: Find the limit by rewriting the fraction first х-у+13x- 13/у lim Vx - Vy (х,у) -> (0,0) x+y

A: First of all break the fraction then apply limits

Q: Find the Indicated Limit Limh-0(4h5-20h2+2h+1)

A: Given, Limh-0(4h5-20h2+2h+1).

Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

Q: Find the limit. 7e - 7 V1 + t - 1 9. lim t t 1 + t

A:

Q: Estimate the limit numerically. lim e-13 x13 a. O b. 13 О с. O d. 0 O e. 1 8.

A:

Q: Find the limit. 3x + 5 lim x→0 x - 4

A: Find the limit  limx→∞3x+5x-4

Q: Evaluate the limit 3(y²1) lim y 4 7y²(y-1)³

A:

Q: Q;: Find the limit for the following functions: - 1- lim -2 X-4 x-4 x²-2 2- lim-3 X-1 Vx-3

A: The limit if the given functions are required to find out. limx→4x-2x-4 limx→1x2-2x - 3

Q: |8x – 1|+ 2 (b) lim T→士o 7 – 4.x Hint: you will have to consider the limits at oo and at —00…

A: To calculate: limx→±∞ 8x-1+27-4x   Now, limx→∞ 8x-1+27-4x 8x-1 is positive when x→∞.  Therefore…

Q: Find the limit (if it exists) lim                t2+t-2/t2-1 t-->1

A: First we factor numerator and denominator

Q: Q4)A) Find the following limits (for two only). x+1 1. limx→-1 x2-x-2 1-Vx 2. limx→1 1-x 2х 3.…

A:

Q: Find the limit: o-4t 6. lim t→0 4 – 13' 17 + t to

A:

Q: 2x + 1 If t(x) find lim,-o t(x) %3D 8x + 1

A:

Q: The limit lim (x,y) →(-2,-5) exists and is equal to -20. Select one: O True O False 25x²-4y² 5x-2y

A: The objective of the question is determine the limit existing.

Q: x2+ cx+c+5 # 11. The limx→-42+5x+4 exists. What is the value of "c"? What is the value of the limit…

A:

Q: Find the limits 2.1 2x + 3 lim Xo Sx + 7

A: To evaluate the limit: limx→∞2x+35x+7 Solution: limx→∞2x+35x+7 On simplifying further we get:…

Q: B. Calculate the limits of the following functions.. 1. limx¬-1(2X2 + X + 4) 2. limy--2(y3 + 5y – 1)…

A:

Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

A: We have to find limit

Q: if x 2 7 x2 - If f (x) I→2 exists. Enter DNE if the limit does not exist.

A: limx→a f(x) exists if and only if limx→a+ f(x) = limx→a- f(x) exists and same.

Q: (-3x)² +1 if x # 4 3x + 13 if x = 4 Calculate the following limits. Enter "DNE" if the limit does…

A:

Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

Q: Determine the limit at infinity. 4x -6x2 + 3x lim - -x - 2x+6 O A. 4 OB. OC. 0 D. 4.

A: Given limit is Dividing both numerator and denominator by x^3, we get

Q: 6x – 6 if a 4 Show that f(x) has a jump discontinuity at a = 4 by calculating the limits from the…

A: Let fx=6x-6if x<41x+4if x≥4 To show that f(x) has a jump discontinuity at x = 4.

Q: If lim,3 f(x) = -2 and lim,-3 g(x) = 7, calculate %3D %3D im ((x + 1) . f(x)² + *+2 g(x) x→3 The…

A:

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3.…

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: Find the limit of the equation.

A: Evaluate the limit

Q: 6ln (1+x) lim х>0 2е3х—2secx

A:

Q: Find lim I→1 x² – 1 Enter inf for oo, -inf for -00, and DNE if the limit does not exist. Answer:

A: In such kind of limit we substitute the value of the limit with sign and then evaluate the…

Q: Find the one-sided limit V4 - y? lim y -2+ y + 2

A: Given: To find

Q: Find the limit. lim (x,y) → (1,−4) 3x²y 2 1+xy²

A: I am attaching image so that you understand each and every step.

Q: Evaluate the limit 3(y² – 1) lim y →2 8y²(y – 1)°

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7 x? 4x + 10 if -1 2 if a < -1 | If f (x) = I-1 | - exists. Enter DNE if the limit does not exist.

A: Here we have to find      limx--&gt;-1 f(x) .

Q: nd the limit. e3x p-3x lim x→0e3X - e-3x

A: on solving this we get the

Q: Find the limit by numerically. 1 lim 1 + |t| |t – 1| t-0

A: To find the limit numerically, consider approximately some values of t which are closer to 0 from…

Q: If V5 - 2r s f(x) < V5 - x for -1 sxs 1, find lim, 0 f(x).

A: Given: 5-2x2≤f(x)≤5-x2

Q: Q3) If the function {2x +1 lx² + 2 x> h) x <hS f(x) = having limit at x = h. Find the value of h.

A:

Q: Find the limit: lim (1,y) → (0,0) x² + 8y?

A:

Q: Determine the following limits at infinity. f1x2 xSo g1x2 lim if f1x2 S 100,000 and g1x2 S 00 as x S…

A: Given information: The function f(x) approaches 100,000 and g(x) approaches infinity as x approaches…

Q: Find the limit by numerically. 1 lim 1+ It| 1 |t – 1| t-0

A: Limit is the value of the expression as the independent variable approaches certain value, not…

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

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.