lim f (x) Determine f(x) 6 (3,4) o.3). (3. 2) (-2, 1); (3,0) -3 -1 2

Q: Find the limit.

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A: Use L'Hospital Rule

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A: Given: fx=limx→-∞x2e-x

Q: lim ²+2x+4 2-1 31²-2+8 LIMIT VALUE: lim 2-0 LIMIT VALUE: lim x-1 LIMIT VALUE: +6-√6 z ²+81-5 3x+7

A:

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A:

Q: Sketch the graph of an example of a function f thatsatisfies all of the given conditions.

A: As f(0) = 3, so there is closed circle at the point (0, 3). The left-hand limit, right-hand limit,…

Q: LIMITS lim f(x) ахт + ... lim x→0 bx" +... X00 х3 — 2х2 + 3х — 4 lim х3 — 2х2 + 3х — 4 lim х-00 4x3…

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Q: lim (tan x) cos x x-2 X-

A: This question is based on limits of 0infinty indeterminate form.

Q: lim(Vx +x - x

A:

Q: Sketch the graph of a function with the given limits:

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A: To find: limx→0 cos2x-cos xx2

Q: lim F(x) where 2x², -1 < x < 1 F(x) = 3 – x, 1<x < 2

A:

Q: Find the indicated limit by using the limits

A: It is given that limx,y→a,bfx,y=4 and limx,y→a,bgx,y=-5.

Q: Lim JX-J2 メ→ x²-4

A:

Q: Use the shown graph in Figure to find the limit :

A: Given:  we know that for a function limit exist when left side limit is equal right side limit

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A:

Q: The derivative of the function f(x) = -2x² 16z +24 by definition of derivatives f(z+h)- f(x) f'(x) =…

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Q: 2. lim f(x) and lim f(x) if f(x) = V4-x2 %3D X-2+ X→2- х-2

A:

Q: Sketch the graph of a function with the given limits.

A: Given that,

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A: Given: The given function is fx=4x-15   To find: we have to find the limit of the function

Q: f (x+Ax)-f(x) f'(x) if f(x) =- x by applying f(x) = lim Ax-0 Ax

A:

Q: 6. lim f(x) = , lim f(x) = 0, lim f(x) = -∞, %3D X-2- lim f(x) = 0, lim f(x) = 0, f(0) = 0 X→文

A: Proceed as shown

Q: limit of x to infinity Square root(x^2-2x+1)-x

A:

Q: 5. lim f(x) = +0, lim f(x) = 0 6. lim f(x) = +∞, lim f(x) = 0 X-1- and f(-1) = 0 and f(-1) = -1

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Q: The derivative of the function f(x) = -822 - 12z + 25 by definition of derivatives f(z + h) - f(x)…

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Q: 16. lim f(x). 1, lim f(x) = -2, lim f(x) = 2, %3D %3D f(0) = -1, f(3) = 1 17. lim f(x) 4, lim f(x) =…

A: Dear student. You have posted many parts. As we are allowed to answer only first part. So, i have…

Q: lim Jx-S

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Q: lim f(x)=-o, lim f(x)=0 Tーー1 lim f(x) = 0, lim f(x)=-

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Q: lim f(x) where f(x) = - r-3 ,x 3

A: We have to find out the limit

Q: Limit of a quadratic function Prove that lim x xS5 25 using the precise definition of a limit.

A: We find that,

Q: lim x to infinity x-2/x2+1 find the limit

A:

Q: Find the limits

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A:

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Q: e second derivative test, If f(x) - 4x + 2 then f(x) has a local maximum at the point x = 3 -2

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Q: 7. lim f(x) = -00, lim f(x) = 0, lim f(x) = 0, %3D x→ーの lim f(x) = 0, lim f(x) = - it

A: I have sketched the graph of each function

Q: lim (1 + x→0- X

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Q: lim (√x²+4) x--> 0

A: limx→0x2+4

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A:

Q: lim (2x²+x-1) 2-0 LIMIT VALUE: 2²-4 lim 2-0 2+8 LIMIT VALUE: LIMIT VALUE: 9-z lim 2-9 3-√√2

A:

Q: cotx -cos x Evaluate : lim (z– 2x)*

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Q: Find the indicated limit by using the limits

A: Given: limx,ya,bfx,y=4 and limx,ya,bgx,y=-5. To evaluate: limx,ya,bfx,ygx,y. Solution: Product rule…

Q: lim f(x) = x→6.2+ lim f(x) = x→6.2¬ At the point x = 6.2, the function is %3D right-continuous only.…

A: The function is,   The limit of function f(x) from the right of 6.2 is,

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A:

Q: lim tan x x- ->

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A:

Q: Lim ģ G メ-ム

A: We have to use L' Hospitals rule ,if we get any indeterminate forms (00,0×∞, ∞∞,∞,-∞) when we…