Use direct substitution to verify that the limit leads to the indeterminate form 0/0. Evaluate the limit. x2 - 25 lim x-5 x - 5

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (-6 + h)-1 + 6-1 h-0

A: The solution is :

Q: Evaluate the limit, if it exists. (If a answer does not exist, enter DNE.) x2 lim 4x 3 x 3x2 2x- 3

A: Obtain the limit value as follows.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim 5+ h)3 - 125 h h-0

A:

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why

A:

Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter…

A: Given limit is : We have to evaluate given limit.

Q: Use the Properties of Limits to evaluate the limit, if it exists. (If an answer does not exist,…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 x² – 8x + 15 x -…

A: limx->6x2-8x+15x-6 When x is replaced by 6 the denominator becomes 0 So its not possible to plug…

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.) lim (h - 4)2 – 16

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 – 4x + 3 X - 5 - lim…

A: The given expression of the limit is: limx→5x2-4x+3x-5

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

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² - 6x + 4 lim X→ 2 X-2

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) V81 + h - 9 lim

A: 6. The given limit is, limh→081+h-9h. Note that, the given limit is in the indeterminate form. Apply…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5x - 7) X→-6

A:

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

A:

Q: Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter '0'…

A: Find the limit of the function (8x2-5)/(3x2+x-3) when x tends to ♾️

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given: f(x)=4-x,  x≠20,        x=2

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² + 5x lim x--5 x2 - 4x…

A: Given : limx→-5x2+5xx2-4x-45

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 - Vx lim x-36 36x – x2

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 lim 3x 40 x5 x 6x5

A: Factor numerator and denominator first.

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given:

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

A: Our Aim is to evaluate the expression given below:-limx→4 1x-2-4x-4-(i)

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

A: Given:

Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter…

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

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 49 - x lim x-49 7 - Vx

A: We will find the value of the limit as following.

Q: Find the limit. (If the limit is infinite, enter 'oo' or '-co', as appropriate. If the limit does…

A:

Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter…

A: The given limit is, Dividing both the numerator and denominator by x2,

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. lim (7x – [[x]]) X-5+

A:

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

A: limx→34x3-3x2+x-3=433-332+3-3=4×27-3×9+3-3=108-27+10=81

Q: Evaluate the limit, if it exists.

A: Our Aim is to evaluate the limit of the function given below:-limx→-1 2x2+3x+1x2-2x-3-(i)

Q: Evaluate the limit, if it exists. 2 - x² – 16 lim X-4 x – 4

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim - 8x + 15 x- 3 x-3

A:

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

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim + 9 – 5 X→-4 x + 4

A: This is a limit and continuity problem

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.) lim (-3 + h)2 - 9 h - 0…

A: Given limh→0-3+h2-9hWe have to evaluate the limitFormula used :-a-b2=a2-2ab+b2

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

A: Given information: limx→ 0.5-2x-12x3-x2

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 – 10x + 24 lim

A: Given:

Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter…

A: solution

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x + 5 lim X→-5 x + 125

A: given: a) limx→-5x+5x3+125b)  limt→03t-3t2+t

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, 3 + 2x lim x-19…

A: Here we have, limx→13+2x9+2x2+4x43

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

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 - (8 - 1—² x )…

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: Evaluate the limit, if it exists.

A:

Q: Evaluate the limit if it exists. Use proper notation. 3 3-N 9 9x-x2 (b) lim a e«

A: Given: a) limx→93-x9x-x2b)limx→∞x3e-x2

Q: Evaluate the limit, if it exists.

A:

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