If the limit does not exist, say why. (If the limit does exist, so state.) -The limit does not exist because one side diverges to ∞ and the other side diverges to −∞. -The limit does not exist because only one of the left or right limits exists as a finite value.     -The limit does not exist because the left and right limits exist but are not the same finite value. -The limit does not exist because it diverges to ∞ or −∞. -The limit does exist and is a finite number.

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: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) h2 + h lim h 0 5h2 + 4h…

A: Given limit is : limh→0h2+h5h2+4h To find the value of the limit.

Q: Evaluate the limit, if it exists. (If . an answer does not exist, enter DNE.) u + 2 lim u→-2 u3 + 8

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) (-7 + h)² – 49 lim h-0

A: To evaluate , limh→0 -7+h2-49h

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (e-X + 5 cos(2x)) x- 00

A: Cosine is a period function,it does not approaches any values as x approaches to infinity.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)  lim h→0  (9 + h)−1 −…

A:

Q: Evaluate the limit, if it exists, or show that the limit does not exist. Provide justification.…

A: To evaluate the limits (a)    lim(x,y)→(0,0)cos(2x+y+π6)e2x+y (b)    lim(x,y)→(0,0)x2+y22x2-2y2

Q: c) lim 1+ r(I – 1) d) lim 1-1(z-1) From your answers in parts c and d, what is concluded about the…

A: Our Aim is to find the existence of the following limit given below:-limx→1x-2x(x-1) Taking…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5  t2 − 3t −…

A:

Q: Find the limit. Or, say it does not exist (DN E). x- 3 2) lim X-9 X-9

A:

Q: Compute the limit, or show that it does not exist: xy + xy? lim (x,y)→(0,0) x² + y² Compute the…

A: The limits for the functions can be calculated by calculating the value of limits along the…

Q: Find the limit. lim √√x+5 cos (x + π) X-IA O A. A. -√√5- B. √√5-T C. 0 O D. 1 OE. The limit does not…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(9t), lim t-0 e5i +…

A:

Q: Evaluate the limit, If It exists. (If an answer does not exist, enter DNE.) 1-t lim t-11- Vt

A: I use Rationalization method to solve this limit

Q: Find the limit or enter DNE if the limit does not exist. 72 _25 lim T5 2-12x+35

A:

Q: Evaluate the limit x2 – 2x – 15 lim I - 5 Enter I for oo, -I for-oo, and DNE if the limit does not…

A:

Q: valuate the limit, if it exists. (If an answer does not exist, enter DNE.)  lim t→−8  t2 − 64 2t2 +…

A: Given limt→-8 t2-642t2+17t+8-1Now t2-64=t2-82                 =t-8t+8-2and 2t2+17t+8=2t2+16t+t+8…

Q: x² + 2y? + 3z² 18. lim (x, y, 2) →(0, 0, 0) x² + y² + z?

A: We have to find the limit by two ways method

Q: (3) Find the limit if it exists. 1' - ry? lim (a) (z.y)-(0,0) r2 + y? (b) lim (2 + y*) In (x² + y²)…

A: Now we will find the solution of the given limit.

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) e2x lim - 1…

A:

Q: Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vi + t2 lim t- o 9t - t2

A:

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 value of the limit lim (a) -1 (b) 1 (c) 1/e (d) 0 (e) - a

A:

Q: 44. Does the limit exists? If no, show your solution lim (x,y)-(0,0) In(1 – x²) + y4 x2 + y4

A: Solved below

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  ((−5 + h)2 −…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) t2 + 8 lim t -0o t3 + t² - 1

A: Here, we need to find the limit of the expression limt→ -∞ t2+8t3+t2-1. So,              limt→ -∞…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) (x2 +…

A: Formula used:A function f(x, y) is continuous at the point (a, b) if,

Q: ez +e Find the limit lim I100 et - e Enter I for oo, -I for -oo, and DNE if the limit does not…

A: The value of given limit is 1.  As per our guidelines we can solve the first question only and one…

Q: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

A:

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) e4…

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: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 9 lim 1 +t

A: We have to find limit

Q: lim- -po0(/ + a – 2)=? O a. 00 O b. 1/2 O .0 O d.Limit does not exist O e. 1

A: To find:            limx→∞x2 + x - x

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 49 + h- 7 lim h 0 %3D

A:

Q: 3 (а+h)2-За? Algebraically calculate the exact limit: lim h→0 h

A:

Q: Find the limit, if it exists, or show that the limit does not exist. 3x²+2y2 2x*y+2 a) lim…

A: now , we will find the limit .

Q: Find the limit L. Then use the e-6 definition to prove that the limit is L. lim E

A: Use the direct substitution of limit to find the answer.

Q: Evaluate the limit, if it exists, or show that the limit does not exist. Pr cos(2x+y+n/6) e 2x+y d.…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (t+ At)² -4 (t+At)…

A: Follow next step

Q: Find the limit or enter DNE if the limit does not exist. -7 lim T 8 T-49

A: From the given problem: limx→ 8x-7x-49

Q: x2 – 3x – 10 lim Зд — 10 I – 5

A:

Q: 1 11 lim X- 1 x2 + 9x – 10 Give your answer in exact form. If the limit does not exist, enter DNE.

A:

Q: Find the lim ax? + bx + c x-4 +00 -00 O XXXX WXWX 16a + 4b + c The limit does not exist.

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 6t + sin(8t) i + e-4°k lim…

A: To find the limit of the given vector function.