Find the slope of the graph of the function g(x) = (5x)/(x-2) at (3,15) using the definition of a limit.

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

A: To solve the indeterminant form which is of the form limx→af(x)g(x). This could be solved using by…

Q: Find the limit V3x(x-1) lim→1 |x-1|

A: we have limx→1-3x(x-1)|x-1| this is 00 indeterminate term

Q: Find the limit if it exists. lim V3- Vx+3 111

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Q: Determine the limit by sketching an appropriate graph. V16-x2 Osx< 4 lim f(x), where f(x) = 4 4sx<8…

A: GRAPH

Q: Find the limit at infinity: (root(x^4+3))/(4x^3+x)

A: Divide by highest denominator power of the function:

Q: Find the limit limit x tends to 2 (-x2+5x-2)

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Q: Find the limit, if it exists.

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Q: lim log, 2X x→0+

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Q: Find the limit, if it exists.

A: Consider the given: limx→∞ x21−8x2Divide numerator and denomintor by "x2",limx→∞ x21−8x2=limx→∞…

Q: Find the limit, if it exists.

A:

Q: x-2 a) limy-2+ x2–4 - 4

A: We have to find limit

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: Find lim f(x) for the given piecewise function. X6 2x + 1 if x 6 If the limit does not exist, enter…

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

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

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Q: Find the indicated limit if it exists. 3-Vx+7 a) lim 2-x X-2

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Q: Find the limit, If it exists. x- 1 lim X---

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Q: Find the limit. 3x + 5 lim x→0 x - 4

A: Find the limit  limx→∞3x+5x-4

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

A: Solution

Q: The value of the limit x42x-3 lim メー)イ X-イ

A: Given : limx→1x2+2x-3x-1

Q: Find the limit. (x²-7) (6- cos x) lim

A: Given,           limx→0x2-76-cosx

Q: Estimate the limit numerically. 3x² +270x+5 lim 2x+15 + oo

A:

Q: 8-4x2 11. f(x) = 9x +5x 2

A: Given: fx=8-4x29x2+5x To Find:  limx→∞ fx=?limx→-∞ fx=?

Q: Find lim f(x) and determine if continuous at x =2 エ→2

A: We have to check

Q: Evaluate the limit as x approaches infinity of (x2 - ln(3/x)) / 4x2+6x

A:

Q: 2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not…

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Q: V x2 + 9 - 5 lim X→-4 x + 4

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Q: Find the limit. lim x-0

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Q: Evaluate the limit by using the definition of a derivative. log3 (x) – 2 lim x→9 x - 9

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Q: Find the limit, if it exists. 4x2 lim x--0 x+ 1

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Q: 28. Use the limit definition, lim 7 (x+h)- f(x) to determine the derivative of x-1. [Value of 4] h0

A:

Q: Find the limit for the following functions: - 1- lim 4 x-2 x² -

A: Just simplify the given expression and cancel out the common terms from numerator and denominator…

Q: *.. Find the value of Limit Below x² – 10x – 25 lim x-5 x2-4x- 5 3/2 O 7/3 O 8/3 1/6 O 2/5 Google Ps…

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Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

A:

Q: Find the limit. Vx +7-4 lim X-3 X-3

A: limx→3 x2+7-4x-3

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Find the limit analytically. If the limit does not exist, write DNE. lim X0 Lx 4+x

A: limx→0 1x14+x-14

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

A:

Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A: Given limit is  We will evaluate this limit by direct substitution because exists at x=-2, that is…

Q: Find the limit. lim e^(-2x) x--&gt;∞

A: To find the limit of e^(-2x) as x tends to infinity.Check whether the L Hopital’s rule applies.

Q: Calculate the limit algebraically. If the limit does not exist, say why. x - 1,000x lim x+0 2x +…

A: Given that: limx→∞x5-1000x42x5+10000

Q: Find the specified limit. f(x) - x+2, x > -1 lim f(x) ?

A: The given function is            f(x) = x2,  x&lt;-1x+2, x&gt;-1 We have to find the following…

Q: Find the limit. x + 3x - 10 lim x+5 x--5

A: It is given that,       limx→-5x2+3x-10x+5 We have to find the limit.

Q: Find the limit if it exists. lim (2x+3) X--2

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Q: Use L-Hospital Rule to find the limit as x goes to infinity (1-(3/x))^(2x).

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Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

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Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A: Given:

Q: Find the limit. (- 3m=) lim In x x→0+

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Q: Find the limit, if it exists. lim x - -0

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Q: Find the limit for the following functions: x-sinx 1-lim, x-Vx² + 2x 2- lim,-o

A: