B. Find the limits of the following function by applying the limit laws: 1. lim =x 13 2. lim 5x 3. lim x

Q: 2. (a) Determine the following limits if they exist. If they do not exist, clearly state so. i. lim…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: For which sign, + or −, does the following limit exist?

A: First find the limit for the + sign. if the expression is 00 then apply l' hopital rule.…

Q: Evaluate the limit, using L’Hôpital’s Rule if necessary.

A:

Q: xy - Y lim(x,y)→(1,0) (x − 1)² + y²

A:

Q: XY – 2x - lim (x,y)→(0;2) x² + y² – 4y + 4’'

A: Given:

Q: Find the value of the limit lim tan 2 x (a) 1/3 (b) 2 (c) 1 (d) 4 (e) 3

A: To find:

Q: Use the graph of the function to evaluate the limit. lim g(x) y = g(x) 2 2 3

A: A graph of y=gx is given as shown below. We have to find limx→1gx

Q: Q 2 Find the following limit if it exists: lim,+25 C 25 Vx-5

A: The given limit is

Q: Please show work.

A: Given,

Q: lim 4x X f(x) ?

A: Using approximate approach ing toward 1/2

Q: Find the limit, if it exists: X lim X+- 0 x² + 1 ,2

A: We factor out x2 from inside the square root. Then |x| comes out of the square root. Note that: x/…

Q: Find the following limits if they exist. lim (x+ e* ) b)

A: We have to find the limit: limx→0x+ex1x This is 1∞ indeterminate form. We know the formula for 1∞…

Q: Find the limit. lim (Váx + 6 + 1)

A: The given limit is limx→56x+6+1

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: The derivative of the function using the limits is obtained by the formula f'(x)=limh→0f(x+h)-f(x)h,…

Q: (x + 3)² lim – 9 = 3 2x

A:

Q: Find the limits, if it exists. lim x → ∞ (13)/(14+e^(8x))

A:

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for - oo. (a) -12x lim 11 + 11 -…

A: Given: to evaluate the limitslimx→118+ -12x11-8x=?  and  limx→118- -12x11-8x=?

Q: Determine the following limits lim, - f(x) if < f(x) < 2

A:

Q: For each item, complete the table of values and use the results to estimate the value of the limit.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the limit. lim væ+1

A:

Q: For which sign, + or - , does the following limit exist?

A: Given that, limx→01x±1x(x-1) Consider, limx→01x+1x(x-1) = limx→01x1+1x(x-1)1x…

Q: lim (1+e 9)º

A:

Q: Use the graph of f to find the indicated limit and function value: y 4- 4-3-2- 234 a. lim f(x) b.…

A: By given graph

Q: Use the formal definitions of limits as x→ +-∞ to establish the limits If ƒ has the constant value…

A: The given function is fx=k. let ε&gt;0. Take N=10. Clearly, fx=k    for  alll x&gt;N.

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

A: Given: limx→2fxfx=4-x  , x≠20,      x=2

Q: Evaluate the following limits, where c and k are constants.

A: To evaluate: limx→2(1x-2-2x2-2x) Solution: Given ,limx→2(1x-2-2x2-2x) On simplifying further we get:…

Q: lim x/(x-1) x→1+

A:

Q: 2. lim x--33 X f(x) ?

A:

Q: Use a table of values to estimate the value of the limit. V x + 25 5 lim

A:

Q: x+h-Vx 12. lim h

A:

Q: e) lim x*十

A: Find the attachment

Q: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: Show, via illustration, that the limits lim x and lim a are equal but xa the functions in each limit…

A: Consider the given limx→ax   and  limx→aa    Now, limx→ax Here, f1x=x limx→ax=a

Q: lim f(x) f(c)

A:

Q: 6) Use the graph of f to find the indicated limit and function value: y 3- 1-3-2-1 -2-

A:

Q: Evaluate the following limits. If needed, enter oo for o and -oo for -o. 15x (a) lim - 2x 3 + 15x…

A: Use left hand and right hand limit concept

Q: Determine the following limits, using o or - o0 when appropriate, or state that they do not exist. -…

A:

Q: Determine the following limits, using oo or-0o when appropriate, or state that they do not exont…

A:

Q: Determine the limit by sketching an appropriate graph. lim f(x), where f(x) = J-5x+5 x-4+ for x<4…

A: Limit x~4+ ANSWER:- 26

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: Find the limit. 3x3 lim (x,y) →(1,-2)1+x2 00 0-12120 O 1 ula 0-1/105 O

A:

Q: Use the graph of the function to determine the limit at positive infinity: lim f (x) X00 68. A y 2 3

A: Given query is to find the indicated limit.

Q: 1 lim \3 Vx + 9/

A: Rationalization of an expression is done to remove the radical expression from the term. For…

Q: Find the following limit, then enter your answer in the form a/(x+b)(x+c) 1 If f (x) = find lim x+2…

A: This question can be solved using the concept of limit and function

Q: Find the limit.

A: Given: limt→4t+2

Q: ) Find the following limits if they exist. 1 lim x→0 x 1

A:

Q: The limit of the ratio test simplifies to lim f(n) where n→ ∞ f(n) =

A:

Q: Find the following limits when they exist: 1. lim g(x)   x to 1

A:

Q: Find the following limits if they exist. b) lim(x+ e*}.

A: Given that, limx→0x+ex1x Simplify given limit as follow: elnlimx→0x+ex1x

Q: Find the following limits. If the limit is either oo or -o, say this. x3 – 7x – 4 (a) lim x² + 18

A: