If f(x) = g(x) for all real numbers other than x = 0, and lim f(x) = L, then lim g(x) = L. %3D O FALSE O TRUE

Q: If lim f(x) = 11 and lim g(x) = 30 then lim[4f(x)g(x) – 5] = %3D O 1315

A: To solve limx→94f(x)g(x)-5, use the difference rule of limits, limx→ca(x)-b(x)=limx→ca(x)-limx→cb(x)…

Q: Given lim f(x) - 4 and lim g(x) = – 2, – 2, x→ 2 evaluate: x → 2 lim (g(x)ln( – 5f(x) – 3)) = | x →2

A: Definition used -

Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

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Q: Find lim h(x), if it exists. X> 00 f(x) = 3x + 2x + 3 (a) f(x) h(x) = lim h(x) X> 00 f(x) (b) h(x)…

A:

Q: (x² + 2x – 3 if x > 2 The value of lim f(x) if f(x) = {6-x if x < 2 A. 5 В. 2 С. 3.5 D. does not…

A: The objective of the question is determine the limit of the given function.

Q: Find lim h(x), if it exists. f(x) = 4x² + 2x + 6 (a) h(x) lim h(x) = (b) h(x) = lim h(x) = (c) h(x):…

A: We have to find the following conditions according to the given information

Q: If lim f(x) = 2, and lim g(x) = 7 find: C→C I-C a) lim 4f(z) A C b) lim ln(g(x))

A:

Q: Find lim (e* + x³ /2+2x)²/*. 1/x X+ 0+

A: Use log property and then use l hospital's rule to solve the limit.

Q: Given f(x) = 4=m)* 3 (4-a)3 Evaluate lim→4+f(x)

A:

Q: Find lim h(x), if it exists. f(x) = 6x2 + 2x + 9 f(x) (a) h(x) = lim h(x) = x→の f(x) (b) h(x) : x2…

A:

Q: Find lim h(x), if possible. X- 00 f(x) = -4x2 + 5x – 3 f(x) (a) h(x) = lim h(x) = X- 00 f(x) (b)…

A:

Q: If lim f(x) = 19 and lim g(x) = 23 then x5 x5 lim (3 f(x)9(x) – 5] = x5 O 38 O 1311 O 172 O 1306 O…

A: Given:       limx→5f(x)=19      limx→5g(x)=23   then  limx→53f(x)g(x)-5 is…

Q: | |x| +1, x 0 (If) f(x) = {0, For what value of a, does lim f(x) exists. x -> a

A: The given function,       fx=x+1,x&lt;00,x=0x-1,x&gt;0

Q: If lim f(x) = 12 and lim g(x) = 28 then lim[3f(r)g(r) – 8] = T-4 O 260 1000

A:

Q: If lim g(x) = 17 and lim h(x) = 25 then x→3 x→3 [49(x) + 7h(x)] lim %3D x→3 2 О 34 O 20 O 121.5 О 50…

A: According to the property of limits, limx→aCf(x)=Climx→af(x) and…

Q: f(x) If f(x) = 3x? + 4x +1 and g(x) = x² - 2x - 3, then what is lim *19(x)

A:

Q: If lim g(x) = 17 and lim h(x) = 25 then x→3 [4g(x) + 7h(x)] lim x→3 O 34

A: Definition and methods help to find the required limit of the given function. A value is said to be…

Q: Discuss the continuity of the function.

A:

Q: The function f is continuous for all real numbers. If lim f(x) = 0, then what is lim xe-2x)? x-2 x-1

A: The function f is continuous for all real numbers  If limx→2f(x)=0then if we put x=2t then…

Q: = 2 · and g(x) = √x² – 2x +1, then_lim [(ƒ(x) · g(x)] is z→1¹ If f(x) =

A:

Q: Find lim h(x), if possible. f(x) = -5x2 + 2x – 6 f(x) (a) h(x) lim h(x) = f(x) (Б) Һ(x) %3D lim h(x)…

A:

Q: If lim f(x) = 16 and lim g(x) = 24 then x8 lim[3f(x)g(x) – 7] = O 1159 O 1152 O 1145 O 216 O 32

A:

Q: 4. Suppose that lim (x) = 1 and lim g(x) = 2 then find g(x)– 4 f(x) the value of [f(x)} +3g(x) lim…

A:

Q: Choose the best answer for limit.

A: If we have a function f(x) and we want to find the limit of the function at x = a, that limx→a f(x).…

Q: 4. Given there exists a function h(x) such that 2x³ + 5 < h(x) < xª + 5 for all r near 2, h(x) +3…

A:

Q: lim is x-0 X O A. 0 О в. 1 C. 8.

A: B. 1

Q: If f(x) < x² for all æ E R and lim f(x) exists, then what can be concluded about lim f(x)? a. lim…

A: we have to find the following

Q: Find lim f(x) for the given function and value of c. 6x 2x +7 f(x) = c=7 x+1 x² +X 6x 2x + 7 lim +1…

A:

Q: If f(x)< g(x)<h(x) for all x-values and lim f(x)= lim h(x) = 1, then which of the following must be…

A:

Q: Evaluate the limit given

A: we can move the limit inside the square

Q: f(x)– 2 (a) Is lim positive? ("yes" or "no") f(1+h)– 1 (b) lim

A: Using the graph of a function, we can determine whether the derivative is negative positive or zero…

Q: If f(x) = 3x2 - 4x +1 and g(x) = x² + 2x - 3, then what is lim 9X, g(x). X-1 f(x)

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Q: If f(x) > 0 for all æ and A = lim f(x) exists, then A > 0.

A:

Q: True or false: If lim f(x) = f(a), and x1 is closer to a than x2, then f(x1) is closer to f(a) x→a…

A: The given statements is: If limx→af(x)=f(a)  and x1 is closer to a than x2 then fx1 is closer to…

Q: Find lim h(x), if possible. f(x) = -7x2 + 8x – 5 f(x) (a) h(x): %3D lim h(x) = %3D f(x) (b) h(x) =…

A:

Q: If 7- 4x s g(x) s7 cos x for all x, find lim g(x). lim g(x) = X-0 (Type an integer or a simplified…

A:

Q: If lim f (x) = 0, then lim f(x) sin- :? X-C A) -1 B) 1 C) 0 D) 2 E) Does not exist

A: Given that limx→cfx=0. We know that, if limx→afx and limx→agx exists then…

Q: Use the limit properties to find the following limit.

A: Given that, limx→3fx=3      ...(1)limx→3gx=2      ...(2)

Q: If lim [f(x) + g(x)] = 9 and lim g(x) = 12 find the following. %3D X-2 (a) (b) x-2 (c) lim 3g(x) x-2…

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Q: Let f(x)=x²e*² the value of lim [ƒ(x)]¹* i 1 - is: 4x1 1 a) b) c) 0 d 1 - e 1

A:

Q: If lim f(x) = 15 and lim g(x) = 26 then エ→5 エ→5 lim[4f(x)g(x) – 6] = %3D x5 1566 O 30 O 1560 O 1554…

A: Limits

Q: If f(x) = 4" , then lim %3D (A) 4 (B) ! 1.

A: f(x)=4xlimx→0f(x)-f(0)x-0=limx→04x-40x=00, indeterminate form. Apply l'hospital rule to simplify

Q: If p(x)=x²+2x -3 and q(x)=x3-1, then lim 3p(x) 4q(x) x+1 II

A:

Q: If lim f(x)= 0, then lim 1 f(z) = +00. I→+00 O True False

A: False This can or cannot be true. please find the explanation in next step.

Q: 4. lim f (x)=4, where c is any real number エー mil lim[ f(x)" a.

A: Given limx→cfx=4, where c is any real number. To evaluate: limx→cfx3 Solution: Power rule of limit…

Q: If lim f(x) = 14 and lim g(x) = 25 then lim [2f(x)g(x) – 6] = %3D O 28 O 706 O 700 O 694 O 178

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Q: If f(x) < g(x)<h(x) for all x-values and lim f(x) = lim h(x)= 1, then which of the following must be…

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Q: Evaluate the limit given

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Q: [x-al (a>o) Lim x+ 80a - la 2

A: From the given problem: limx→a-x-ax2+80a2-9a

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.