Find the limit of each of the graph depicted in Figure 1 and 2. lim_f(x) i. x-2 ii. X-2+ lim f(x)

Q: Evaluate the limit. 3 -2 lim x>1 3 x - 1

A: Given- limx→1-3x3x-2x-1 To Find- The value of the limit.

Q: Use a table or a graph to investigate the limit. x² + 4 lim x+1 X1

A: To find the limit limx→1x2+4x+1 using a table as follows. x x2+4x+1 0.9 (0.9)2+40.9+1=2.53157…

Q: Find the limit, if it exists. 1) Find: lim 6x + 5 X-1 5x-6

A:

Q: Find the limit L.

A: To find the limit: limx→-5x-5 Solution: We know that limit of a function fx at x=a exists at if:…

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: 5 lim x-6 x + 5

A: Given Limit :           Need to find the value of limit by direct substitution

Q: Find the limit L.

A: To FInd:limx→6 3

Q: Calculate the limit limx→13√x−1x−1.

A:

Q: Find the one-sided limit

A: To find:limx→-4- x2+2x+4

Q: Use a calculator to estimate the limit. lim X- x→-9+

A: limx→-9+x-6x+9

Q: Find the limit using direct substitution. x-4-2 lim X-13 X

A: Find the limit using direct substitution limx→13x-4-2x=?

Q: Give the two-step method for evaluating a limit of the form lim f(x)8(x).

A:

Q: Find the one-sided limit

A: Given: limx→2+ xx-2 To Find: To evaluate the given limit.

Q: Find the limit. lim sech(x) X -0

A: To find limit: limx→-∞sechx Solution: We know that sechx=2ex+e-x Therefore,…

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

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Q: Identify the indeterminate form for 4x 2 lim (1+ and evaluate the limit, if 3x possible.

A:

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

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Q: Find the limit. lim (5x + 4x + 3) X--3

A:

Q: Construct a table to find the indicated limit.

A: Given,

Q: Construct a table to find the indicated limit.

A: To construct a table check the value of function 5x2 at all values which are closer to x=2 in both…

Q: Find the Limit of a Power:

A:

Q: find the given limit  lim(-x^2+6x-3) x-->7

A: We need to find the value of the given limit

Q: X-1 lim ズ→-1x+1

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Q: Find the limit, if it exists.

A:

Q: Use a graph to find the limit from the left and the limit from the right. |x - 3| lim X-3 X - 3 |x –…

A:

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

A: We know that, limx→af(x) tells the value to which f(x) approaches as x approaches near a. For a…

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

A: we have to find the value of the one sided limit(if it exists): limx→2+xx-2…

Q: Use a graph to find the limit from the left and the limit from the right. |x - 3| lim X— З X→3- |x –…

A:

Q: Find the limit.

A: The limit of a function limx→Xfx=Y means that the value of function fx can be as close to Y by…

Q: Find the limit limx→1x11−x.

A: Given that limx→1(x11-x)We need to find the value of limit

Q: Determine the limit graphically, if lim f(x) x-1- 4+ 3- %+ -5 -4 -5+

A: we need to find  limx->1- Here 1^-1 means the x approaches 1 from the left. From the given graph…

Q: Determine the limit, if it exists. lim 5 (x -7) X→3

A:

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

A: To find the limit limx→0-1+1x. We know that 10-=-∞. Evaluating the given limit,…

Q: Find the limit. 4 lim x→-2+ x + 2

A:

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

A: The given limit is,

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

A:

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

A:

Q: Find the limit if it exists. Lim, 19 (x)

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Q: Find the limit using direct substitution. 3x + 2 lim x-1 1-X 1 -x

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Q: Find the limit x-5 lim x→5 x²-25

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Q: lim X-3 √3x (x-3) |x-3|

A:

Q: lim X-4 X → -9x+9 Xナ

A: limx→-9+x-4x+9

Q: Use the graph to evaluate the limit. lim lim Find x-(-1) f(x) and X-(-1)+ f(x)

A: Consider the first given limit: This means that when x is approaching to -1 from left side then…

Q: Find the limit lim 1X+18X -X

A: The given limit is limx→∞x2+18x-x. we have to find the value of limit.

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

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

Q: Find the limit

A:

Q: Find the one-sided limit. lim (2x + 7) X→-4+

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Q: lim 5etan(x) x → (1/2)+

A: