Find the limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four decimal places.)  lim x→7+   ln(x − 7)

Q: Find the limit. (If an answer does not exist, enter DN lim x→0 x2 9x

A: =?

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→5   5 + X/X

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim 5 5 + x x--5

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) x2 - 3x + 2 lim x- 1 X - 1

A: Here we have to find limit of given question.

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) X + 4…

A:

Q: Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) 6x4 - 3x2 + 4 lim…

A:

Q: Calculate the limit algebraically. (If you need to use co or -o, enter INFINITY or -INFINITY,…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0    3x2 − 2x x

A:

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

A: Solving the problem by finding the limit.   NOTE :: As per our Expert guidelines we are supposed to…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) X + 4 lim X--4 X + 64

A: Given, limx→-4x+4x3+64

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) ** 14) x + 14 lim X 14 X -

A: Given that, limx→14x+14x-14 We have to find the solution of the question.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞  √(x+3x^2)/2x-1

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 1 lim x 8 X - 8

A: To evaluate the limit of the function given.

Q: Find the limit. (If an answer does not exist, enter DNE.) 5x - 4 lim X 0 2x + 4

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х - 8 lim X- -00 x2 + 9

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (√25x² 25x² + x - 5x -…

A:

Q: ind the indicated limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞  x2 x2 − 3

A:

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

A:

Q: stimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  4x8…

A:

Q: If the limit does not exist, say why. (If the limit does exist, so state.) -The limit does not exist…

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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, if it exists. (If an answer does not exist, enter DNE.) lim x to 0 (9x^2 - 6x / x)

A: We first factor the numerator

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

A: The given function can be redefined as follows: 2x+2x,     x<02x-2x,     x≥0

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→3 f(x), where f(x) =…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim X→-2- V x² - 4

A: Given expression is We need to find its limit as x approaches -2-

Q: Find the limit, if it exists. If it does not, enter "DNE" (2a + 2)(x - 5) lim 22 +2

A: Given limit is in the indeterminate form, just use the L'Hospital's rule and easily find the…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 7(x + Δx) + 4 − (x2…

A: A limit tells us the value that a function approaches as that function input get closer and closer…

Q: lim x + 1 - 2 x→3 х — 3

A: We need to find the limit if it exists

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) x + 7…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 4x - 9 lim x- co 2x + 7

A: Given that  The limit is

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 1 lim X→-8+ X + 8

A: Given query is to find the limit of the expression.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim 4x2 + x - 2x)

A: The standard formula for a limit as x --> infinity is,

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

A: Find the limit

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−∞

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim 7 x--7 7+ x 1

A:

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−3  3x2 + 3/X

A: Given, limx→-33x2+3x Use L'hospital rule to find the existence of limit

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: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 6 – |x|| lim 6 + x X→-6

A: Given limit ;

Q: 1 Find the limit of lim x (1– e * ). X→ 00

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−7  x2…

A:

Q: Find the limit, if it exists.

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

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 2(x + Δx) + 4 − (x2…

A: Find the solution below

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → 2  (x2 − 3x +…

A: Here we evaluate the limit     limx→2x3-3x+2x-2 if it exist

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 4. lim (x2 X--3…

A: Given problem:-

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

A: The given limit is lim(x,y)→(0,0)xyx2+y2. Substitute x=rcosθ,y=rsinθ in the above equation.…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 4x + 3 lim x - -3…

A:

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: