Suppose that f is an odd function of x. Does knowing that lim, „o* f(x) = 3 tell you anything about lim, o f(x)? Give rea- sons for your answer.

Q: If x3 f(x) s x for x in [-1,1], find lim f(x) if it exists. X-0

A:

Q: Suppose that lim 4f(x)+ 2x – 14 5. Find lim f(x). z→1 %3D z→1 x – 1

A: Given

Q: Find lim 1+ (if it exists) X→ 00

A: Solving the problem by finding the limit.

Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

Q: justify lim O Find and the xy

A: It belongs to Multivariate Calculus (specifically several variable),so I can do it in advanced…

Q: lim log, 2X x→0+

A:

Q: Find the limit, if it exists. 29) lim x+12x2 -5x 5x To X-0

A: First we have to factor out x from the numerator.

Q: Find the limit, if it exists.

A:

Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

A:

Q: Suppose that on the interval (2,5) f(x) less than or equal to g (x) less or equal to h (x) and Lim…

A: We have the following information.

Q: Draw a graph where lim x→2 f(x) exists but f(x) is discontinuous at x = 2. Name the type of…

A:

Q: Show that lim,→»(1+ e* for any x > 0.

A: To prove:

Q: Find the indicated if it exists: lim x to 8;  2x2+3x+1 divided by x4 - x2

A: To find the limit if exists

Q: It is known that lim-0 eAt-0 for A What can you say about e? Justify.

A:

Q: (b) Prove that lim,→20,¤€A ƒ (x) exists and is equal to lim→0 Yk-

A: This problem is related to the sequence of functions. Given:  fkk∈ℕ is a sequence of functions from…

Q: Find Limit Using Squeeze Theorem: 2. If 2x – 2s f(x)<x² – 4x + 3 for x 2 0, find lim f(x).

A:

Q: Find the limit. lim (2 – x)7 tan(=) x→1

A: It is asked to evaluate the given limit. For solving the problem we need to know some basic…

Q: If a function is defined at a, but lim f(x) does not exist, how is x→a this shown on the function's…

A: If the limit of a function f(x) does not exist at a, then the function is not continuous at a and…

Q: If you know in advance that lim f (x) exists, can you determine its X+5 value from a plot of ƒ for…

A: Given that limit of f(x) exists at x=5.That means the function f(x) is continuous and differentiable…

Q: Find the value of the limit: 3 tan(4x)– 12x lim

A: From the given problem:   limx→03tan4x-12xx3   This problem can be solved by the series expansion of…

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: (4) Consider the function + 3bx + 262 if x 1 For which value(s) of b does lim f(x) exist? Justify…

A: Given: fx=x2+3bx+2b2             if x&lt;1 fx=x-1                             if x≥1 limx→1fx…

Q: Suppose that a function f(x) is defined for all real values of x except at r = c. Does it imply the…

A: Here we have to check whether the limit exists or not.

Q: 3. If f is a continuous function, what can you say about lim f(x)?

A: Given thatf is continuous To determinelimx→1f(x)

Q: what is the lim x->0  f(x)-f(0)/x^2 if f(x)=2x^2+1?

A:

Q: Evaluate the following limits if they exist: lim In (3x-1) 5+x x->-5 e a) b) x-lnx lim x-e* lnx-1 El

A: limx→-5ln3x-1e5+x

Q: Evaluate the limit, using L’Hôpital’s Rule if necessary

A: The given limit is:  limx→1lnx3x2-1  When substituting the direct limit, the given limit forms an…

Q: Find the right- or left-hand limit ớr state that it does not exist. x-4 lim Tx - 4| X-4- Does not…

A:

Q: 3) If lim dt) = 5, can there be a vertical asymptote in the graph of d(f) at t = 0?

A: Given               :  limt→0- d(t)=5   Not Given       :  limt→0 d(t)=? limt→0+ d(t)=?

Q: Show that lim- e +1 does not exist. 1/x

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Q: lim(4x – 3) = 5 x→2

A:

Q: 4. Evaluate the limit, 1 (x + h)? lim - |

A: Using rules of limits.

Q: Evaluate lim (e* – 2.x) x→0-

A: To evaluate: limx→0-(e3x-2x)3x

Q: (2) Suppose that a function f(x) is defined for all real values x except x* x,, then lim f(x) does…

A: For limit to be exist at a point, left hand side and right hand side values of function should be…

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

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

Q: If there is no single value that is approached by f(x) as x approaches a, then lim f(x) does not X→a…

A: If there is no single Value that is approached by f(x) as x approaches a,then limit of f(x) as x…

Q: If + 1for all positive x-values, then what is lim f(x)? X- 4

A: We have to find limit

Q: Evaluate the left hand and right hand limits of the function defined by (1+x, if 0 1 at x 1. Also…

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Q: Use the formal definition of the limit to prove.  lim (4x − 3) = −7 x→−1

A:

Q: Find the limit, if it exists.

A: Find the limit, if it exists.

Q: 2) If 2 – x2 < f (x) < 2+ 3x² whenever -1 < x < 1, use limit theorems to find lim0 f (x). Give all…

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Q: Find the following limits analytically or state that they do not exist. 2x+1 3. lim- x+0 x2+1

A: Given:limx→02x+1x2+1

Q: Find the limit. lim (2 – x)6 tan(5) |

A: Explanation of the answer is as follows

Q: What type of discontinuity is at x = 3, if lim f (x)= 0 and lim f (x)= 0? x-3 x>3* What type of…

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Q: Suppose g(x) is a function. sin(32) If lim 9(x)+ =8, then what is lim g(x) ? Your answer should be…

A: