If the limit exists, specify the specific value. If the limit does not exist, write DNE. 4x- ) 8, for x 2 3 lim g(x) if g(x) = 7 – x, for x < 3)

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + 1 lim X→3 X - 3

A:

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

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→ (0, 0) x² + y8

A: Given: limx,y→0,0xy4x2+y8 To find the limit if it exists or to determine exists or not. Limits in…

Q: Find the limit. (If an answer does not exist, enter DNE x + 1 – 2 lim x→3 X - 3

A:

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

A: Given: (a)   (b)

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 2√x lim CSC X

A: Explained below

Q: Find the limits as x 0 and as x→ -o. (If the limit is infinite, enter 'oo' or '-0', as appropriate.…

A:

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

A:

Q: Find the following limit. x2 + 16 lim (x, y) → (0, 18) arctan x² + (y – 18)2,

A:

Q: Find the limit, if it exists. If a limit does not exist, type "DNE". 4 – xy lim (x,y)→(2,3) x² + 2y²…

A:

Q: Find the limit. If the limit does not exist, type DNE. 2z – 2ry? = lim (1,9) → (-1,1)

A: We will find the limit.

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

A: Given limit is: L=limx,y→0,0xy4x2+y8 Let y = mx.

Q: Find the limit. 11ry lim (2, y) (0,0) x2 + y? The limit is O The limit does not exist.

A: For a two-variable function, its limit as (x,y)→(a,b) will exist if and only if the limit…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 lim t→0 - t2 + t

A:

Q: Find the limit. (If the limit is infinite, enter 'o' or '-co', as appropriate. If the limit does not…

A: Here, we need to find limx→∞e-x+3 cos6x. So,               limx→∞e-x+3 cos6x=limx→∞e-x+limx→∞3…

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

A:

Q: 2.a?y Using paths, show that the following limit does not exist. lim (x,y)→(0,0) 3x4 + y?

A: According to the given information, it is required to show that limit does not exist.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim ху (x, y) (0, 0) x²+ y8

A:

Q: Compute the limit or state that it does not exist. (If an answer does not exist, enter DNE.) (2x +…

A: Please refer the attached image for complete solution.

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not…

A:

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) S-x +…

A: Proceed as shown below

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A: Answer(a): The given limit is: limx→∞e-x+3cos7x Now, apply the limit property…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) +6 - уб lim (x, y)→ (0,0) x3…

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 6 - xy lim (x, y) → (2, 1)…

A:

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

A:

Q: Find the limit, if it exists. x² ycosx x* + y² lim(x,y)¬(0,0)

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - |x| lim x→-2 2 +x

A: Recall: absolute value function

Q: Find the limit, if it exists, or type 'DNE' if it does not exist. eVla²+2y? lim (x,y) (-1,-4)

A: find limit

Q: Find the limit. (If the limit is infinite, enter '' or '-', as appropriate. If the limit does not…

A: Find the limit

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) if x 0…

A:

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: Use rules of limit

Q: Show that the limit does not exist. xy? - 1 lim (Ky)→(1,1) y-1

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) ' 4 - lim t-0\t t2 +

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 9 lim t-0 1 + t ty

A: Given :limt→0 9t1+t-9t

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim xy (x, y) (0, 0) x2 + y8

A:

Q: If it exists, find Answer: x³ - ze²y lim (x,y,z) (-1,0,4) 6x + 2y3z' Write DNE, if the limit does…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0)  xy4/…

A: To find if the limit of the function (of two variables) exists.

Q: Find the limit, if it exists, or show that the limit does not exist. 2 x² - 3y² lim (x,y)→(0,0) x² +…

A:

Q: Show that the limit does not exist. xy? lim (x,y)→(0,0) x3 + y6

A:

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

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) -{ x – 4x +1 -x? + 4x – 5…

A:

Q: 3. Find the limit, if it exists, or show that the limits does not exist. c) lim (x,y)→(0,0) x² + y?

A:

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

A:

Q: 3. Find the limit, if it exists, or show that the limits does not exist. d) lim (1,y)¬(0,0) xª + y²°

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0  x6 cos(5/x)

A:

Q: Suppose lim g(x) = 4, lim f(x) = 0, lim h(x) = -5. %3D Xa Xa Find following limits if they exist.…

A: It is given that,  limx→ag(x)=4,  limx→af(x)=0,  limx→ah(x)=-5 we have to solve, 4) limx→ag(x)f(x)5)…

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

A: The limits of the function will give the value of the function near the point. The limit does not…

Q: Find the following limit and show that either the limit exists or not lim (x,y)¬(0,0) xy sin 2 + y²)…

A: claim - to show either the limit exist or not  limx,y→0,0xysin1x2+y2 as we know, limit exist if…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (x2 – 4x + 6, 1-x² + 4x –…

A: Here we find limx→7fx       where fx=-x2+4x-2, x≥7x2-4x+6  x &lt;7if it exist

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.