Identify the quotient as an indeterminate form of the type or tan(9x) lim x → 0 In(1 + x) Find the limit. 8 | 8 olo 8|8

Q: نقطتان )2( * .Find the limit Given lim, 0- f(x) = L1, lim,-0* f(x) = Lr, and L1 # Lr, which of the…

A: Here, the left hand and right hand limits exists but not the same.

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: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 2 lim Ax→0+ X + Ax Ax

A: The given expression is lim∆x→0+2x+∆x-2x∆x

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: Decide whether the limit exists. If it exists, find its value. O A. 1 Find lim f(x). О в. О OC. 21…

A:

Q: lim (x² + 1) = L x→2

A: Topic:- calculus

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

A:

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

A: We have to evaluate limx→∞9−ex9+2ex Take common factor ex from both denominator and numerator…

Q: Find the limit L. Then use the e-8 definition to prove that the limit is L. lim (r + 5)

A:

Q: Find the limit if it exists. 3x + 4, x 2 x² +2, lim,-2 f(x) O 10 O 4 O 2 O DNE O None of the…

A:

Q: (a) Sketch the graph of the given function and find its limit 16 - x? 4+x 5, f(x) = x = -4 (b) Find…

A: Firstly we find the Limits of given function  Given function is , f(x)=16-x24+x , x≠-45,…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 3 3 lim (2 ||

A: Given function is: limx→0+3x-3x For right hand limit x will convert into x.

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: 9. lim (e* + x)²/™ x48

A: Let's evaluate limit.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х — 8 lim X → -0 x + 6

A: We have to evaluate the limit

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

A: a.   Given:  lim(x,y)→(0,0) cos (2x+y+π6)e2x+y = cos π61…

Q: Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.)…

A: Given;  limx--2 (4x2+ax+a+12)/(x2+x-2).

Q: 7. Find the limit, if it exist x² +2 a. lim xV9 - x? C. im b. lim * x-1

A:

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

A:

Q: Find the limit L. Then use the e-8 definition to prove that the limit is L. lim (r + 4)

A:

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

A: To find:limx→ 366-x36x-x2

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: b) Use the concept of infinite limit to compute the following: (1 – i)z + i lim 2-i/2 2z +i

A: To compute the limit: limz→i21-iz+i2z+i Explanation: The concept of limit states that if the highest…

Q: V1+h -1 lim h→0 5h

A:

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

A: Given that: limx→∞(e-x+4cos6x)

Q: Determine the limit algebraically, if it exists x3 + 12x2 – 5x lim 5x O -1 O 5 DNE

A:

Q: Find the limit L. Then use the e-8 definition to prove that the limit is L. lim x→-4 \2 L =

A:

Q: Calculate the following limits, or explain why they diverge. Зn? + п — 1 lim n0 -2n2 +n – 4 x² – 9…

A:

Q: 4 – 5x5 Find the limit lim x – 7 Enter I for o, -I for -o, and DNE if the limit does not exist.…

A:

Q: Find the limit. 6x + 2 lim e 6x+ 2 =(Type an exact answer in terms of e.)

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)  lim u→−3  u + 3 u3 + 27

A:

Q: Using the e - N definition of a limit, prove that 8n lim n+00 4 = 2 4n – 1 -

A:

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

A: Given:

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: 9. Find the limit if it exists, either as a number or an infinite limit. lim (Vx? + 3x +7 – x)

A:

Q: If n is any positive integer, then the limit lim x→0+ xn ,what is the limit? O +00 Indeterminate

A: Given: Let y=limx→0+1xn, Where n is any positive integer. To Find: To evaluate the given limit.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 4 4 x + Ax lim Ax-0* Ax

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: 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: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 7 lim t-0EV1 +t 글)

A: We have to find limit

Q: Find the one-sided limit L (if it exists). (If an answer does not exist, enter DNE.) Ilm ++ (x-2) x-…

A: As, Given, limx→0+x-1x3 The function decreases without a bound. So, limx→0+x-1x3 = - ∞

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: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim X - co 4x + 3

A:

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

A:

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 9. lim x→o+ x² X

A: Follow the procedure given below

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

A:

Q: Find a value of the constant k such that the indicated limit exists. 5* – 1 lim x→o eka + 8' k =

A:

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.