Question xi – 2 h(x) x – 16 What is lim h(x)? Answer in exact (fractional) form, not as a decimal value.

Q: 1. Use your knowledge of graphs of functions and their derivatives to find the value of lim Show…

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Q: et +e-& – 2 Evaluate L = lim Hint: use L'Hospital's Rule. 1- cos x |

A: Use L hospital rule

Q: QUESTION 1 a) Evaluate the following limits and verify your a 3y +5xy+2x Зу' +2ху (1) lim (-»)…

A: We have to find limit according to the given information

Q: x2 +1 Can L'Hôpital's Rule be applied to lim x→1 2x + 1

A: To check if the L'Hospital's Rule can be applied or not, first we need to find the limit by directly…

Q: QUESTION 17 f(3 + h) – f(3) , where f(x) = x² + x* Find the limit lim h h+0

A: Given : fx = x2 + x

Q: 1 1 (b) lim x-0 'tan x e* – 1 -

A: =?

Q: Question: 1 a) Find and sketch the domain of the function f(x,y) = + Vx+1- log:(x² + y² – 4). b)…

A: Given function is fx,y=-11-x+x+1-log13x2+y2-4                   (i) To find the domain of fx,y Now,…

Q: 1. Find the lim F(t), where sin(3t – 3) F(t)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: b) Find two functions such that lim, 0 f(x) = 0 lim, 0 g(x) = 0 but lim, 0 f(x)g(x) = 1

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Q: Question 1. Evaluate 3-Vx+5 (a) lim X4 x-4 tan 7x (b) lim X0 7

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Q: 1) The graph of a function y = f(x) has the line y = -2x + 5 as its tangent at the point (3, 10).…

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Q: Question 6 Find the limit, if it exists. lim (e²r + x) = 1-0+ 01 O e² 0 3 02

A: Given    limx->0+{e^(2x)+x}/(1/x)

Q: Question: 3 3- 19-2x+ x² a. Evaluate lim X

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Q: Question 4. (a) Find the limit: (). lim x

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

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Q: Question 7 x+6 Finding the limit: lim3 x+2 O (E) 2/7 18

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Q: I if X > 4 and J (X). 4X + 1 i1 X<4. Find lim f(x) x→4+

A: Given; f(x)=√x-1 if x&gt;4 and f(x)=x2-4x+1 if x&lt;4.

Q: Suppose that g(x) s f(x) < h(x) for all x + 2 and suppose that lim g(x) = lim h(x) = -5. X-2 X-2 Can…

A: It is given that gx≤fx≤hx and limx→2gx=limx→2hx=-5.

Q: Question 4.[4, 4 marks] Evaluate the following limits, 1+ x (a) lim [r – a* In(-")I (b) lim(1- 2r)

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Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

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Q: 14. (a) Use a graph of 1(6) = (1- 2)" f(x) = to estimate the value of lim f (x) correct to two…

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Q: 6. Given the graph of g(x) below, evaluate lim (g(x)) x→4 -3- -2- 4 -1- DNE (does not exist) 4 -1…

A: Thats easy. Have a good day!!!

Q: 3* Evaluate (a) lim sin y and (b) lim x→-I /x + 5

A: To evaluate: a) limy→π3 sin y b) limx→-1 3xx+5

Q: 2 ež h(x) 1 - 4 What is lim h(x)? x→+∞

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Q: Question 1 1 lim z5 X-5 0-

A: To find the limit (x tends to 5) 1/(x-5)

Q: Given h(x)= Vx +9 - 3 a) Determine the value of x where h(x) is discontinuous. b) Find lim h(x). X-0

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Q: 2x f(x) x + 6 10 100 1,000 f(x) -5 -10 -100 -1,000 f(x) Use the results to guess at the indicated…

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Q: f(x) -? X 0 eBx - 1 What is the value of lim

A: We have to find the value of the given limit.

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…

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Q: QUESTION 10 Let fx)- 5x+x-2 and g(x)= x+13. Find the limit. %3D lim g(f (x)) O a. – /4 O b.17 O c. 4…

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Q: In evaluating 2dx E, is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=1.13…

A: Integration

Q: 1 X

A: Consider the limit

Q: Question 6 [2 points] Evaluate the following limit algebraically. Vx+1-5 lim x-24 x-24 Give your…

A: Given :limx→24x+1-5x-24

Q: QUESTION 6 6.1 Evaluate the following limits: (a) lim (x² +x) (3x³ + 6) (Ъ) lim Vu?+ Зи + 6 (Ь) u--2…

A: As per Bartlebys answering policy we can answer only one question with a maximum of three subparts,…

Q: 1/(1+e^(1/x)) state the value of each limit. lim f(x) as x -> 0- lim f(x) as x ->0+ lim f(x) as x…

A: Given:  f(x)=11+e1/x

Q: Question 14 f Vx sfx)s÷x+ 1for all positive x-values, then what is lim f(x)? x + 4 Selected Answer:…

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Q: 1) Answer the following: 1. Find: lim-5-25 x-5 2. Find x2 + y? = 9xy dx 3. Find y': y = 5 sin3x

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Q: Question 10 X-2 lim (- x-1 x+4x-3' O A 00 OB. 1 OPNone of the above is correct OD.

A: We have to find the limit.

Q: 45. a) Find lim h(x). b) Find h(1). c) Is h continuous at x = 1? Why or why not? d) Find lim, h(x).…

A: Given Example -

Q: Evaluate these limits as x approaches infinity or negative infinity- Question 1 x2 + 3x + 1 lim,m

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Q: x+1 If f (x) : Solve to find lim f(x)? Vx2+5-x'

A: We find limit

Q: (x² - 3) 7. Build a table to estimate lim sin x

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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: Question 1 Vx-2 x->4 x-16 i. lim ii. lim lx-5 1 x->2 x+x-25 iii) lim (Vx +x - x) X->00

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 7. *Find the values of a and b lim sin(ax-2a) x-2 = 3 %3D x-2

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Q: Question 2 Compute the following limits, if they exist: In(1+x) (a) lim x0 x3 + 5* + 10 (b) lim x→0…

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Q: Suppose that g(x) < f(x) < h(x) for all x 2 and suppose that lim g(x) = lim h(x) = -5. Can we…

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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.