a) Form a piecewise function by using exponential, quadratic & linear function. b) Your domain for the piecewise function must be in the range -a

Q: What is lim1 f (x) ? X

A: Find your answer below

Q: 2. By drawing a graph illustrate an example of a function f(x) such that it satisfies these three…

A: Topic = Functions

Q: Consider the piece -wise function h): = (x)4 x²-2x +3 for x 2 Find lim hx) Find is h«) Contiouous?…

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

A: the given limits are:

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Consider two functions fx & gx By algebra of limits, we have, 1. limx→a fx+limx→a gx=limx→a…

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

A: Given the function with the limits.

Q: 4. Is it possible that there exists some function g(x) and some constant L such that lim g(x) = lim…

A: First we need to understand definition of limit:

Q: What is lim f(x)? X-1

A: Given graph: To Find: limx→1f(x)

Q: Use the definition to prove that lim,→∞ x² = ∞.

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Q: Find two functions f and g such that lim f(x) and lim g(x) do not exist, but lim [f(x) + g(x)] * 0…

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Q: Find the limit: Vx – 14 lim x → 196 196 - Give an exact answer or keep at least three decimal…

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Q: Evaluate in terms of the constant a.

A: We have to find the limit in terms of constant a: limx→02a+x This is determinate limit so we need to…

Q: A = lim R, = lim [f(x1)Ax + f(x2)Ax+.+ n-00 x< 10. Using the above definition, determine whic

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Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

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: 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: Given: x + 1, -2 < x < 0 x = 0 0 < x < 2 x = 2 2, f(x) = -x, 0, 2 < x < 4 х — 4, What is the lim…

A: Consider the given function. fx=x+1,          -2&lt;x&lt;02,                x=0-x,…

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

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Q: Which graphs do not agree with lim f(x)? x1

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Q: Use the e-d definition to show that lim /a = 2. a-b (Hint: Vā – V6 =

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Q: x*-a* If lim (108 * T'), find the value of "a". х-а х-а

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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: Sketch the graph of a function f (x) that satisfies the following conditions: limx -→ -o f (x) = o ;…

A: Follow the steps to sketch the graph.

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: Find lim f(x), lim f(x), lim f(x), and f(a), if they exist. Xa

A: Consider a function f(x) which has a hole at x=c. Then the right, as well as the left limit of this…

Q: The value of lim (1+ x²)e * is

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Q: State whether lim f(x) and f(c) are equal or unequal at the given value of c. Also, state whether…

A: According to given graph at c=-3 limx→-3fx=2f-3=2 So,  limx→-3fx=f-3=2

Q: 1. Using L'Hospital's rule, evaluate lim(1 – x²).

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Q: Sketch the graph of an example of a function that satisfies ALL of the conditions lim f(x) = 0o, lim…

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Q: (b) Given that lim f(x)== 2 and lim g(x) =4 , find the limit x→2 x→2 1 lim 3f(x)- Vg(x) x→2 Using…

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Q: Use technology to graph f(x) =! and find lim! O -00 O Does not exist

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Q: 1. Given that f (x) = -x² + 4x, and a = 2, find f(a + h) – f(a) lim h→0 h Explain the meaning of the…

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Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: (b).   limx→0 x2+a2-ax2 ;      a&gt;0

Q: a. lim f(x) =1 and f(0) = -3

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Use the e-d definition to show that lim x2 I→2

A: In this question we will use basic of calculus i.e basic of limits. We will simply find the limiting…

Q: Solve for the lim (x )tan(, ) -

A:

Q: 4) Find the value of each limit: х* + х —6 а. lim х-я х — 2х-15 x→1 | Vx – 1 lim х—1 х — 1 b.

A: The limit of a function is the value of the function when the arguement of the function tends to a…

Q: Find lim f(x) given the graph of

A: Given that: Graph of the function:

Q: If lim f (x) = 9 and lim = 1, then lim 1+ = ? %3D A) 0 B) 1 C) e? D) 2 E) Does not exist

A: Given:  limx→∞ f(x)=∞    and    limx→∞ f(x)x2…

Q: Use the graph to compute , lim f(x), x+3 -6 -4 -2 2 2.

A: Find the Limit of the function

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

A: We find limit

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: 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: Find lim f(x) X+ 0-

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Q: Sketch the graph of a function f such that: limf(x)=0 X-7

A: We take a function  f(x)= 1/(x-7)

Q: Estimate the limit numerically if it exists. (If you need to use  or –, enter INFINITY or –INFINITY,…

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Q: Q2: Use lim x 0 and lim x 0 to show that lim x = 0.

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Q: (b) Given that lim f(x) == 2 and lim g(x)=4 , find the limit x2 1 lim 3f(x)- Vg(x) x→2 Using the…

A: Given thatlimx→2f(x) = 2  and limx→2 g(x) =4    and we have to find the value of the limit…