What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

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

A: Given: gx=1-x,       x≤1 gx=x+1,          x>1 The limit limx→1+gx is the right hand limit at…

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->21x+7+3Directy substitute 2 for xlimx->212+7+3 13+316

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

A:

Q: Find the limit. x2 - lim x3 -x 3x+2 x-0+ Does not exist 8.

A: This question is based on Limits.

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

A:

Q: limに 1 x2-3x+2 X-1 x-1

A: We have to find

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A:

Q: find the limit or explain why it does not exist. 1 - Vx lim 1- x

A: we have to find the limit . limx→11-x1-x

Q: x-2 a) limy-2+ x2–4 - 4

A: We have to find limit

Q: x² – 1 lim x→1 x – 1

A:

Q: Calculate the limit lim 2√(x-4) / (x-4) As x goes to 4

A:

Q: Find the limit of  limitx->0= x2+4,

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Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

Q: Evaluate the limit: -V4+x² lim X→0- x2

A: limx→0--4+x2x2

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

A: limx→4-x-2x-4

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

A: Given: limx→2+2x-x we know that 2+=2

Q: V2x -1 Using defination of limits, prove that lim Jx- 3 L^ = x4

A:

Q: 5) Does the limit |x+1| lim x-1 x+1 exist? If yes, find its value, if not - explain why. Show all…

A:

Q: V4+x-2 lim

A:

Q: What must be multiplied to both numerator and denomination of lim→2 3-г-1 SO 2-x that the limit will…

A: We have to find multiplication factor for given Limit.

Q: V2x –1 Using defination of limits, prove that lim Vx- 3 L^ = X4

A:

Q: When finding the limit  lim x2 +5x+1/3-2x x-> infinity How do I find the limit?

A: Evaluate

Q: Find the limit: limx 1(x2 + x + 2)/( x + 1)

A:

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

A: limx->9x+3x-9

Q: Numerically determine the limit 8+x3 limx--2 2+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: Evaluate the limits algebraically (using limit laws): Vt2 + 9 – 3 lim- t-0 х2 — 1 lim(2x² – 3x + 4),…

A:

Q: 4-V3x+1 Evaluate the limit limx→5 x²-7x+10

A: Given limitlimx→5 4-3x+1x2-7x+10

Q: 2 Find the limit or show that it does not exist. 8. lim (/4x2 + 3x + 2x) X→-0

A:

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

A: limx→0-xx

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 limit if it exists. (=) 3x Lim,0

A: The given limit is limx→0-3xx2

Q: Explain why the limit does not exist. X lim X-OX

A:

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

A: (b).   limx→0 x2+a2-ax2 ;      a>0

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

A:

Q: Find the limit or show that it doesn't exist. 1-х-х2 a) limx→-o 2х2-7 V1+4x6 b) limx 2-х3

A:

Q: 2. Find the limit using Squeeze theorem 1 lim-2|x – 2| sin( r - 2

A: Squeeze Theorem- Let f, g and h be functions defined on an interval I. Let c∈I be its limit point.…

Q: 3x + 2 aluate the limit of lim if it exists. x + 2 O limit does not exist

A:

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

A: Left hand limit: Right hand limit:

Q: 4. Find the limit: lim X – 2 |리-2 +0

A: We have to find given limit.

Q: 5) Find the indicated limit if it exist. 3- Vx + 7 а) lim x→2 2 - x x' +1 b) lim х>-1 х+1

A: (a).    We have to find the limit: limx→2 3-x+72-x

Q: Find the limit. lim x--> infinity  e3x+5/4e3x+ex-7

A:

Q: Use basic techniques to find the limits. 8. lim(-7) X-3 9. lim (x³ + 2x) X→-1 10. lim cos x

A:

Q: Find the limit if it exists. If the limit does not exist, explain why. (x+h)³-x³ C. lim. h-0 h |x+4|…

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Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

A:

Q: Find the limit lim 4-V X-16 16x-x2" if it exists. Use Limit Laws if possible.

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Q: Find the limit, if it exists. Vx6 - 1 lim x5 - 1 X--0

A:

Q: 6 Find the value of a such that 2x2 - ах — 14 lim х-1 х2 — 2х — 3 exists, What is the value of the…

A: The limit of a function at a point 'a' in its domain is the value that the function approaches as…

Q: 5) Find the indicated limit if it exist. а) lim X-2 3- Vx+ 7 2 - x x' +1 b) lim x-- x+1

A: