Suppose you know • lim f(æ) = o and lim g(x) = o. • lim f'(2) = - 4 and lim g'(x) = 7 %3D * 00 2 109(0) lim f(2)

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Q: If lim f(x) = 7 and lim g(x) = -4, find the following. X-6 x →6 (a) (b) lim_ [f(x) + g(x)] X.6.....…

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A: Part 1 :Objective :Finding a function f(x) where

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A: Follow the steps.

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Q: limx→0  (x^2+3) / (1−cosx)

A: given example is, limx→0x2+31-cosx

Q: lim -- g(x) f(x) =L,if f(a) g'(a) = L.

A: L'Hospital's Rule says that limx→af(x)g(x) = limx→af'(x)g'(x)

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Q: 4. If y' = (y - 5)(y - 10), a. find the lim y(x) if y(0) = 0. %3D b. find the lim y(x) if y(0) = 8.…

A: Given - If y' = y - 52y - 10 To find - find the limx→∞yx if y0 = 15

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A: limx→af(x)=L means f(x) becomes arbitrarily close to L as long as x is sufficiently close to a.  We…

Q: If lim f(x) = L and lim g(x) M, use L, M, or both to complete the statements

A: Given: limx→afx=L and limx→agx=M. To find limx→afx·gx using L,M or both. Solution: Product rule of…

Q: P(x)=92x-x^2-1760 find limx->40 P(

A: Apply the limits and find the value

Q: Example 13: lim x sin(é)

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Q: S=S(x)=9/2+10+x/4, x>=4, Find limx->4^+S(x), Find limx->10 S(x)

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A: We have to find the limit: limy→-35-y43 This is determinate form of the limit so we just have to put…

Q: 2. If f(x + y) = f(x) f(y) and if lim (h)-1 6, then f'(x) = = h

A: Introduction: The slope of a tangent line to the curve at any point is expressed by a function's…

Q: if f(5) = 4, f'(5) = 7, then lim of (f(x²+1) -4)/(x²-4) = ?? when x goes to 2

A: Please see the answer below.

Q: p(x) = 1 and q(x) = infinity as x tends to a point " a and let L(x) = [p(x) ] ^ q(x), then limt of…

A: Solution:Givenp(x)=1          q(x)=infinity as x tends to a point 'a'let      L(x)=[p(x)]q(x) To…

Q: If 1(x) = 8x+9 find lim t(x). 10x+6' X+00

A: The given function is tx=8x+910x+6.

Q: i) f'(2) = 0 and f" (2) < 0 ii) lim-0 16+h)-15) iii) lim, +x f(x) = 2 iv) f(0) = -2 v) lim, 40 f(x)…

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A: Consider the given function whose limit is required to calculate.

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Q: Find lim(x-4) (f(x)of the graph below

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Q: Can you help me solve this using L’Hôpital’s Rule?

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Q: if x'(3) = 8 Sind Lim X(3 + 2h) - X (3-h) h->>0 h

A: The answer is given below:

Q: x - 3 lim I-3 x - 9 x? – 2x – 8 lim x – 4 x³ – 2x? + 1 lim x³ - 1

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Q: 1 4. Find limx→0+ ( ) ex-1

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Q: If lim (x approaches 6) (f(x)-4)/(x-3)= 2, how do I find lim (x approaches 6) f(x)?

A: We separate the limit first.