if xs-1 - 2 if x>-1 Evaluate lim f(x) if 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: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: Find the one-sided limits of f (x). - 2x + 7 if x < -3 f(x) x + 4 x + 3 %3D if x 2 -3 Step 2 of 2:…

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Q: If / 10 - 7x2 sf(x)s/10 – x² for - 1<x<1, find lim f(x). lim f(x) = x→0

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Q: What conclusion can be made if: a. A function changes from a decreasing interval to an increasing…

A: Given that: a. A function changes from a decreasing interval to an increasing interval.b.…

Q: f(x) – 3 If lim = 1, find lim f(x). X- 2 X→7 x→7

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Q: Hence, find the value of lim f(x). x→-3 lim f(x) Enter your next step h x→-3

A: Given,          Consider the graph of a function, fx , shown below :

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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Q: (-2x + 3 if x 1 Evaluate the lim f(x) where f(x) x→1

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Q: IF lim h>0 f(5h•1)-F(1) - 10 lim FIND 670 F(h+1)-f(1)

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Q: Find lim [x csc(x)] as x approaches zero.

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Q: f(x) - If lim x--2 x 1, find %3D lim f(x) f(x) b. lim X--2 а. X--2

A: Given, the limit is                   We have to answer the given questions.

Q: If 7-6x2 sf(x)s 7-x² for -1sxs 1, find lim f(x). X→0 lim f(x) =

A: If 7-6x2≤f(x)≤7-x2 for -1≤x≤1, we have to find limx→0f(x)

Q: If lim f(x)=-2 and lim g(x) = 2, what is the value of lim [f (x)+2g(x)]?

A: Given, limx→afx=-2  and  limx→agx=2

Q: -f(x): a. lim

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: (x² – 1, if x 3 3. If f(x) = 3.a) lim f(x) 3.b) lim f(x) 3.c) lim f (x) x-3 x-1

A:

Q: Find the value of * lim - 1 - 1 1 +x

A: Let us take f(x)=x11+x-1. Then we have to find limx→0f(x).

Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

Q: If the limit of two different functions, lim f(x) and lim g(x) XC exist, then so does lim[f(x) -…

A: for example limx-&gt;2f(x)= 5limx-&gt;2g(x)=∞ f(x) and g(x) exists now find the limit f(x)-g(x) when…

Q: Investigate the one-sided limits graphically:

A: We have to investigate the one-sided limit graphically of the following function -  limx→0+ ln x

Q: 1. Determine the lim f(x) if f(x) : = {x*. if #2 lo, if x = 2 2. Find lim f(x) if f (x) = 2*

A: (1) Given that, f(x) = x2 ; if x is not equal to 2 f(x) = 0 ; if x = 2 Then we get, As x -&gt; 2,…

Q: . Evaluate L = lim(x→0) ((1/ex-1)-(1/x))

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Q: x² - 6x-8 if x< -1 Evaluate the lim f(x) where f(x) : if x -1

A: Limits of function

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: If lim x-4 x-2 f(x)-5 - =1, find lim f(x) X-4

A:

Q: Let g(x) = 0 if x = -2 x² - 3 if x # -2. Find lim g(x) x = -28 (x)

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

A: The given limit is,

Q: x +1 if r -1 Determine if lim f(x) exists. 2-1

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Q: - 5 f(x) - If lim X-4 X - 2 1, find lim f(x). %3D

A: Given limx→4fx-5x-2=1 To find limx→4fx

Q: (3х + 3с if x >2 Let f(x) = {x2 - cx if x < 2 If lim f (x) exists, find the value of c. X-2

A: Limit of a function exist , when both sided LHL and RHL exist.

Q: 1. Evaluate lim f(x) if f(x) = {, if xs-1 &² - 2 if x>-1

A: Given function fx=1x,   if x≤-1x2-2 ,     if x&gt;-1 We have to find  limx→0 fx=?

Q: if x 3 Let f(x) = then lim3 f(x) is x-3

A:

Q: Find Lim as attached. f(x) = x2 − 4x

A: Given: fx=x2-4x   limx→0fx+x-fxx=?

Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: fx², if x < -5 if x 2 -5 a) Let f(x) Find lim f (x). х —5+

A: given function is f(x)=x2        , if x&lt;-5x3         , if x≥-5 Now x→5+ means the x approaches to…

Q: if x 0 —2х — 3 Evaluate the lim f(x) where f(x) = x→0 х — - 3

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Q: a) If lim x-5 f(x) – 3 = 5, find lim f(x). X-5 X-5

A: Given: limx→5f(x)-3x-5=5

Q: +8 If f(x) = find lim f(x).

A:

Q: Find Lim as attached. f(x) = 3x2 + 1

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Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

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Q: Let f(x) be given by x²+1 if x 2 Find lim f (x) X-2

A: Topic = Limits

Q: 1) If lim f(x) = , what asymptotic behavior will be illustrated in the graph of f (x)?

A: 1) If limx→6-fx=∞, then the value of the function fx tends to infinity as x→6 from the left hand…

Q: f(x) – 4 If lim х-з х-2 3, find lim f(x). x-3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: if Lim EGx) -5 メ→2 X -2 Fina Lim f (x) メ→2

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Q: Let lim f(x)=4. Find lim (- 5') x→10 x→10

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Q: Give an example where lim 1x) x0 8(x) exists but neither lim f(x) nor lim g(x) exists.

A: Let us assume two functions Then,

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

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Q: In evaluating S dx is same as evaluating lim C-3+ (In(f(x))). Determine the value of f(x) if x=3.4.

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Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

A:

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.