Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (-) 6,

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

A:

Q: Find the limit if it exists, or show that it does not exist. lim (z,9)¬(0,0) zª + 4y²

A: Given:

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

A:

Q: evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or…

A:

Q: Please show work.

A: Given,

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x2 + 2x5) lim x- -x x²…

A: Given

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

A: limx->∞9-x3+x Divide the given expression by the highest denominator power So we divide each term…

Q: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

A:

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

A: First, we factor the denominator limt→08t-8t2+t=limt→08t-8t(t+1)=limt→08(t+1)-8t(t+1)  [used…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x + 3 x--3 x + 27

A: Please refer to the image below

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

A:

Q: lim x → 2    5x2 + 5 5x − 1

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)

A:

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

A: To evaluate the given limit: limx→83+x31-6x2+x3

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 25 - t lim t- 25 5 - VE

A:

Q: 1 lim ty1 + t

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5 + h)³ – 125

A: Limits

Q: evaluate the limit if it exists. If not, determine whether the one-sided limits exist (finite or…

A: Apply the difference of squares property:

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

A:

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

A: Explanation of the solution is given below...

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim ( h -3 + h)? – 9 h-0

A: solutionEvaluate the limit  h→0limit  -3+h2-9h

Q: lim x + 1 - 2 x→3 х — 3

A: We need to find the limit if it exists

Q: Find the limit, if it exists.

A: To find the limit  limx→∞x-cosxx

Q: Evaluate the limit, if it exists. If a limit does not exist, type "DNE". V9 +h – 3 lim h>0 h

A: To find the value of the  given limit first we rationalise  the given function by multiply and…

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) (2…

A: We have to calculate value of given limit.

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

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

A:

Q: Estimate the limit numerically if it exists

A: limx→3x2-6x-3

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

A: Solve for the limit

Q: Find the limit, if it exists.

A: It is given that, limx→∞xx2+1We have to find the limit,if it exists.

Q: Find the limit, if it exists, or type N if it does not exist. lim (1,y)→(2,0) ev272+3y2 | %3D

A:

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 3 +…

A:

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 2x2…

A:

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 2x2…

A: We have expression as limx→22x2+13x-2   It can be written as limx→22x2+13x-2

Q: Find the limit. lim Vx X-1

A:

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) -3 lim x-4-(x-4)²

A:

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

A: We need to find the limit of                                  . So,                   limx→∞…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (h – 6)2 – 36 h - h…

A: limh→0(h-6)2-36h=limh→0h2+36-12h-36h=limh→0h2-12hh=limh→0h(h-12)h=-12      Ans

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: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x2 cos()

A: We know that ,The algebraic computations of limits using the squeeze principal ,which is given…

Q: Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x-…

A: Given limx→4- -6(x-4)2 Apply the constant multiple rule limx→4- c f(x) = c limx→4-f(x) with c=-6…

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 5x2…

A:

Q: Evaluate the limit, if it exists.

A: We have to evaluate the limit   We have the given expression as limh→01(x+h)2-1x2h

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.