please kindly evaluate the limits and or explain why it does not exits  Limx->1 (1/x2+1)

Q: Determine the Limit: Limx->infinity 8x

A: We need to solve the limit of the provided function when x tends to infinity.

Q: Find the limit of limx->-1 (x3-2x2+5)

A: Since this is a polynomial function,we can calculate the limit by direct substitution. We have The…

Q: is it true that ∇f(limx)=lim∇f(x) and further that ∇2f(limx)=lim∇2f(x)?

A: We know,  ∇f(xi)=f(xi)-f(xi-h), h=xi-x0i,i=0,1,2...And…

Q: the limits if it exists, if it does not explain why. (1) lim ()" (ii) lim

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->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: Consider the limit limx→10+ x-10x-10   observe that the numerator is an absolute value function with…

Q: find the limit of  limx->-4 [(x2-2x-24)/(x+4)]

A:

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

A: Consider the limit limx→3+ 2x+3 Observe that the function 2x+3 is defined everywhere except at x=-3.…

Q: limに 1 x2-3x+2 X-1 x-1

A: We have to find

Q: Using the formal definition of limits, show that lim (-2x + 5) =-1.

A:

Q: Evaluate the limit. limx→(π/2)− (x − π/2)tan x Just letting you know the negative sign is…

A: the given limit,limx→π2-x-π2 tanx

Q: (x²–4) lim x→-2 (x+2)

A: Given: Let y=limx→-2x2-4x+2 To Find: To evaluate the given limit.

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

A: Given: limx→-3-xx2-9 Determine the limit limx→-3-xx2-9=-3-32-9=-30

Q: Using the ε−δ− definition of limit, show that limx→3(3x−2)=7.

A: Given:

Q: Find the limit, if it exists. If the limit does not exist, explain why. lim 4+12 |x+3|| --3

A:

Q: Find the limits, using l’Hopital’s Rule where appropriate. If there is a more elementary method, you…

A:

Q: Estimate the value of the Limits 2x 2x lim -3+ x 3 and lim x-3 X-3 |

A:

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

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Q: What is lim ? X-0+ x

A:

Q: If limx→0+ ƒ(x) = A and limx→0- ƒ(x) = B,find limx→0+ ƒ(x3 - x)

A: Given: limx→0+fx=A,limx→0-fx=B we have to find limx→0+fx3-x we know that if x∈0,1 then x3<x

Q: Find the limit. Use l’Hospital’s Rule where appropriate.If there is a more elementary method,…

A: To find the limit limx→1+x1(1-x).

Q: Suppose neither limx→0 f(x) nor limx→0 g(x) exists. Show that limx→0 [f(x)g(x)] may exist.

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Q: Please evaluate the limits and or explain why it does not exist. Limx->1 (1/(x2+1)  explain steps…

A:

Q: Please evaluate the limits and or explain why it does not exist. Limx->1 (1/(x2+1)

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Q: Find the limit. (Hint: Treat the expression as a fraction whose denominator is 1, and rationalize…

A: To compute the limit by rationalizing the given function

Q: find the limit or explain why it does not exist.

A: Given:             limx→4ex−e4x−4

Q: Once you know lim x-->a+ f(x)  and lim x-->a-  ƒ(x) at an interior point of the domain of ƒ,…

A: If we know the right and left-hand limit of a point then we know the limit at that point.

Q: Find (a) limxS400+ :x; and (b) limxS400- :x;; then use limit definitions to verify your findings.…

A: (a) Given: limx→400+x  ……1

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

A:

Q: calculate the limit limx--> ∞ 3x^2+x-1/4x-7

A:

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: lim |x-

A:

Q: Find the limit or determine that the limit does not exist limx→∞ (2-x)/(√4x2 + 13) 4x2 + 13 is all…

A:

Q: lim (x³ + 4x² + 4x – 1) = -1, a-2 1 lim - = 1.

A: Given,

Q: Using L'Hospitals Rule, what is limx->infinity (ex + x)(9/x)

A: Given information.

Q: X -1 lim х - 1 X-1 X,

A: We have to compute the limit  limx→1 x-1x-1.

Q: Using the ε−δ− definition of limit, show that limx→2x2=4.

A: to find the limit limx→2x2=4 proceed as follows using the definition of limits there exists δ>0…

Q: lim (-Y" 2. スーラ ル

A: Sure.

Q: lim x→5 (7x − 6

A:

Q: х — 5 7. lim x→5+ x?

A: Use simple limit method

Q: Suppose that limx→2[f(x)+x2]=α. Find  limx→1(x+1)f(2x)

A:

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

A: Given, to find the limit of the function f(x)=2x+3  as the value x approaches +3. This value is…

Q: Find the limit or determine that the limit does not exist limx→∞ (x2 +2x+1)/2-3x

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Q: т + 2г + 1 а) lim -1 r5 - 2r - 1

A:

Q: Find the limits limx→∞csc-1 x

A: Given:limx→∞ csc-1x

Q: 1 (a) lim I+5- x – 5

A: that is on puting x=5 from the left we get  the limit= -inf

Q: Find the limit. NOTE: Enter an exact answer if it cxists. If the limit does not exist, indicate that…

A: GIVEN: limx →6- xx - 6

Q: Find the limit:    limx 2(4x2 + 3).

A:

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

A: Given: lim△x→0+x+△x2+x+△x-x2+x△x