V-1-x +5, if x < -2 Let f(x) = { 5, if x = -2 2x + 10, if x > -2 Calculate the following limits. Enter "n" for a limit which does not exist. lim f(x) = x-2 lim f(x) = x--2+ lim f(x) = X-2

Q: Vx+1 - 3 4. Find the limit (if it exists). lim %3D X-8

A:

Q: Now, use direct substitution. 1 lim X-2 x + 7 + 3) = 1/6 Thus, the value of the limit X + 7 lim X -…

A: limx-&gt;21x+7+3Directy substitute 2 for xlimx-&gt;212+7+3 13+316

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A:

Q: Determine the infinite limit. x + 2 lim x--3+ x + 3

A: We have to determine infinite limit: limx→-3+x+2x+3 We know that finiteinfinite=0finite0=infinite

Q: Evaluate the limit.

A: If we substitute 2 for x in the expression it gives the form as which is an indeterminate form.

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

A: The given expression of the limit is: limx→+∞7x2+10x-12x2-2x

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

A:

Q: Determine the infinite limit. x + 5 lim x--4- X + 4 00

A: Using , graph and property of limits

Q: 3. Evaluate this limit. x + 4 lim x--4 4x + 16

A: given,

Q: Find the indicated one-sided limits, if they exist. -x + 6 15x + 5 if x s 0 if x > 0 f(x) = lim f(x)…

A:

Q: B. Find the limit. Зх— 1 5. lim х-1/3 9х2-1 x3- 1 6. lim х+1 х-1 Vx+5 -2 7. lim X→-1 х+1 Vx-1 4. lim…

A:

Q: Find the limit. (If you need to use co or -co, enter INFINITY or -INFINITY, respectively.) lim 25.x2…

A: Find the limit of the sequence

Q: Find the limit. lim 1- x-0

A:

Q: given that  lim f(x)=9           lim g(x)=-2             lim f(x)=0 x---&gt;1.…

A: Note: We shall only answer up to first three sub-parts as the exact one is not specified. Please…

Q: Determine the limit at infinity. 4 22) lim 9 - (5/x²) X→-0

A: step 2 complete solution

Q: date 5) lim 3メー4x?43x3 5-2 x-X3 X->0 find the limit if exists ìf

A:

Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

Q: 3 x - 2 | Guess the value of the limit: lim X 3.5 7x – 1 -

A:

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: lim f(x) x--&gt; 3, where f(x) = {2(x+1), if x &lt; 3 or 4, if x = 3, or x^2 - 1, if x &gt; 3}…

A: First we find the limit of f(x) from left side and right side .

Q: cot3x Lim X-o cotx 0

A: Given limx→0cot3xcotxTo evaluate the limit:

Q: 3x+2 Find the limit as x --> lim –6x–6 00 O - 1/2 O 1 O - 1/3

A:

Q: Find the indicated limit if exists. lim x2 - 9 x→3 x - 3 O 3 O The limit fails to exist. 6

A: Ist solve then apply limit

Q: Find the one-sided limit (if it exists).

A: Given: limx→0+x-1x+3 for evaluating given limit, we put x=0+ in given limit

Q: Find the Limit: 1. lim (2x + 5) x--7 3. lim(-x + 5x 2) 5. lim 8(t - 5)(t - 7)

A:

Q: 2 – 5x – 14 Evaluate the limit: lim - - x - 2 x + 2

A: Topic:- Limits Answer =  -9

Q: x2 – 3x 4 - - Evaluate the limit: lim x → - 1 5х + 5

A:

Q: Find the indicated limit algebraically. Show complete solution. 2x -x-3 1. lim x--1 2. lim () x+1…

A: Solution: Consider the given limit function is limx→-12x2-x-3x+1 We can factorized numerator and…

Q: Evaluate the limit 1 lim x--3 (x + 3)²

A:

Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx-&gt;9x+3x-9

Q: For solving a limit problem lim f (x)(*) which is in the form of indeterminate power, here are the…

A: We have given limx→af(x)g(x) which is in the form of indeterminate powerlet y=limx→af(x)g(x) taking…

Q: Find the limit. y 6- 5- 4 3- 2 1- 3-2 -1 -1 1\2 3 4 5 -2t limz-0 f (x)

A:

Q: Evaluate the limit. 4x2-9 lim x→3/2 15-10x а. b. lim(x – 2) sec(n/x) | x-2

A: See the details solution in below

Q: Vz - vā lim х-а 11(х — а) xa

A: Given - Function  To Find - Limit of function

Q: For the function -1 f(x) = if x 3 ' evaluate the limit lim f(x). (If a limit does not exist, enter…

A:

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

A: limx→0-xx

Q: If lim,3 f(x) = -2 and lim,-3 g(x) = 7, calculate %3D %3D im ((x + 1) . f(x)² + *+2 g(x) x→3 The…

A:

Q: (2r+3, ifx 0

A: limit of function exist if left hand limit =right hand limit Consider left hand limit…

Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: Find the one-sided limit (if it exists).

A:

Q: Find the limit x-5 lim x→5 x²-25

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: The given limit of expression is lim x→∞+5x2+5x-42x2-3x Divide the expression by highest denominator…

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: using  a2-b2 = (a-b)(a+b)

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

A: Left hand limit: Right hand limit:

Q: Evaluate the limits. If a limit does not exist, enter DNE. |x + 15|| lim x--15* x + 15 |x + 15|| lim…

A:

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

A: Given f(x)={x2−6x+7 ifx&lt;5−x2+6x−3 ifx⩾5Here we findlimx→5f(x). if if exist.

Q: Find the limit

A:

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

A:

Q: Evaluate the limit. x2 + 2x – 15 lim- x – 3 X-3

A:

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: To evaluate the given limit: lim(x,y)→(0,3)x4-y4x2+y2 Here, note that…