Assume lim f(x) = 24, lim g(x) = 7, and lim h(x)%3 4. Compute the following limit and state the limit laws used to justify the computation. X6 X6 X-6 f(x) lim X-6 9(X) - h(x)

Q: Assume lim f(x) = 21, lim g(x) = 9, and lim h(x) = 6. Compute the following limit and state the…

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Q: 2/ Find the value of the limit: lim x/*,

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Q: Determine if the following limit exists. If it does exist, compute the limit. x - 9x lim X.

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Q: /x + 4 – 2 lim x-0

A: Consider the limit, limx→0x+4-2x To estimate the value of the limit, we take some points on the…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim 5 5 + x x--5

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Q: Find the limit L.

A: To FInd:limx→6 3

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: 3. a) Examine if the following limit exists, x + y + 1 lim (x,y) (0,0) In(x2 + y²)* If the limit…

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Q: tan x lim 4-V lim x-16 16x-x² x² -9 lim x-3 x²+2x-3

A: Find the value of limit limx→πtanxx. limx→πtanxx=tanππ             =0π            =0 Thus, the value…

Q: Find a Limit using factoring:

A: We have to find the limit using factoring: limx→1x2+2x-3x-1 This is 00 indeterminate form of limit.…

Q: Compute the exact value of the given limit. V5x2 + 1 lim 6x

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Q: Find the limit, if it exists. 29) lim x+12x2 -5x 5x To X-0

A: First we have to factor out x from the numerator.

Q: Find the limit, if it exists. x²0 - 1 lim - 1

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Q: Find the limit, if it exists.

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Q: Assume lim f(x) = 39, lim g(x) = 5, and lim h(x) = 2. Compute the following limit and state the…

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Q: Find the limit. lim e3/(2 - x)

A: Find the limit

Q: Find the limit, if it exists. lim X → -00 ,2 x - x

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Q: Find the limit. lim X-2 x+2 O 1/2 -00 O Does not exist

A: Answer is limit does not exist

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

A: Given,

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

A: limx→∞ e2x-93xlimx→ac·fx=c·limx→afx=13·limx→∞ e2x-9xe2x-9=e2xe-9=13·limx→∞…

Q: Evaluate the limit. lim     e2/(x-3)x  →3-

A: To evaluate the limit   limx→3-e2x-3

Q: We are asked to estimate the value of the following limit. lim (2 + h)4 - 16 h-0

A: Consider the given table: As h is approaching 0, f(h) is approaching 32.

Q: Find the limit, if it exists. 1 lim X-00 x6 - 1

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Q: 1. Find the following limits mathematically. If the limit does not exist, state why. x* - 4x -12 a.…

A: When applying the limits to an expression and if we get a 00 form then use l'Hopitals rule to find…

Q: What value(s) of 6 are an appropriate choice when proving the following limit? 5 lim = -∞ x→-4…

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Q: When proving the limit lim(x² + 4x - 1) = 11, and e > 0 is given, what is an appropriate choice for…

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Q: lim x² +3

A: Explained below

Q: Find the limit. lim x2/(1-x) X→1 *

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Q: Estimate the value of the limit lim, 4 x² + 1 by filling out this table and then making an educated…

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Q: Assume lim f(x) = 14, lim g(x)= 6, and lim h(x)= 5. Compute the following limit and state the limit…

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Q: 2) lim x’e-8r

A: Explanation of the answer is as follows

Q: 6. Use any appropriate method to evaluate the following limit lim (1+ x²

A: Topic:- application of derivatives and limits

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

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Q: Assume lim f(x) = 39, lim g(x) = 5, and lim h(x)= 2. Compute the following limit and state the limit…

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Q: Find the specified limit fCx)=(x+2,x>-1 lim, fa)=3 ×マー

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Q: Find the limit, if it exists.

A: It is given that, limx→∞xx2+1We have to find the limit,if it exists.

Q: Evaluate the given limit. Show your complete solution. lim [e6x + x² x²] =/= 8x

A: Given problem:-

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  4x5…

A: Given, limx→∞+4x5+50x44000x7+3 Dividing x7 on both numerator and denominator…

Q: 4. Evaluate the limit, 1 (x + h)? lim - |

A: Using rules of limits.

Q: Find the limit. lim etan x→(3t/2)+ х

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Q: Find the limit, if it exists.

A: Given expression is,

Q: | | lim 10 - x 10 - x X - 10

A: Now left hand limit is, and right hand limit is,

Q: Compute the indicated limit. „2 x + 3 lim x00 x - 4

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Q: Use the definition of the limit (e - 6) to show that 1 lim

A: By the definition of limit of a function, for every ε>0 there is a δ>0 such that fx-fx0<ε…

Q: 3. a) Examine if the following limit exists, x+y+1 lim (x,y) (0,0) In(x2 + y²)* If the limit exist,…

A: a) let the function be fx,y=limx,y→0,0x+y+1lnx2+y2 examine if the limit exists, if it exist then…

Q: Estimate the limit numerically if it exists. (If you need to use  or –, enter INFINITY or –INFINITY,…

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Q: lim 5etan(x) x → (1/2)+

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.