Find the limit of the following functions (some are indeterminate forms). x2-x-12 4. lim x-4 2x2-7x-4 2x2-x-3 5. lim x1 3x2+5x+2 6. lim vx + 3 x-9

Q: Evaluate the limit of the function: lim f(x) =- /7 +x -V7

A: topic - limits

Q: Q3: Find the limit for the following functions: - 4 1- lim(- x→2 x-2 - x2 -4 2- lim(x – Vx2 + x) x-1

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Q: lim(1 + x)7 x-1

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Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

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Q: Find the limit of the following function ex (a) lim x0 e1/x+1 (b) lim f(x), where f(x) = { 3x – 2,…

A: To find the limits

Q: Find the limit for the following function, (2 + h)-1 – 2-1 lim h-0 h

A: We use to solve this limit by simplification/factorization method

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: given the attached function, find the following limit limh-->0 (f(-1-h)-f(-1))/h -6 -3 -3/2 -3/4

A: Explanation: Given that,  Now find the f(-1-h) put x = -1-h                           Now find the…

Q: Use the graph of the given function f to determine the limit at the Indicated Value df y3f(x) 3+ -3…

A: From the given graph;

Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: 2x2-х+3 3) lim x→-1 3x² + 5x+ 2

A: To Find: Limit of given function

Q: Find lim f(x) for the given piecewise function. X6 2x + 1 if x 6 If the limit does not exist, enter…

A:

Q: Q2:: Find the limit for each of the following functions if is exist ? 1) limx- 3| X-3

A: Calculate the left and right limit if both are equal than limit exist.

Q: Q: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(-1) 2x²+x-3 2- lim X-1

A: Please see the explanation below

Q: Compute f(x +h) + f(x– h)- 2f(x) lim h-0 h2 for the following functions: (a) f(x) =x (b) f(x) = x2…

A: For the real function f, if f(a+h)-f(a)h has a limit, h approaches to zero. This limit is the…

Q: Find the limit of x° + 1 —х — 1

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Q: Find the limit of the following functions (some are indeterminate forms). x2+x-12 1. lim- x-3…

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Q: I. Determine the limit of the function, f(x) = 2x – 5, given the graph. 1. lim(2x – 5) = , X2 2.…

A: Given graph of the linear function f(x) = 2x - 5 is as follows:

Q: Determine the limit value of each of the following functions 11. lim 5(3x + 2) x →-1 12. lim * x→ 4…

A: Tp evaluate the given limits.

Q: Find the limits of the following functions: a) lim 2x + |x – 3| x→3 Vx2+9–5 b) lim x→-4 x+4

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Q: Evaluate the limit of the given functions. 3x17x+ 20 lim. x44x² 25x+36 1. 2. lim t3 - 1 고 t-it-1

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: Differentiate the following functions using the limit method: 1) y = 7x - 3x" +x– 10 2) y = ;r - 8x…

A: We will use limit definition to find derivatives of given function. Since , we know that…

Q: 2+x 4. lim 3x-7

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

Q: Find the indicated limits of the following function: 11x3 – 4x2 – 8x - - f(x) = 10 – 10x – 8x3 - lim…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: Consider the piecewise function defined by Sx² + 5 f(x) 3x + 1 if x 2 2. if x < 2 Find each of the…

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Q: Find lim f(x) for the given piecewise function. 2x + 1 if x 6 If the limit does not exist, enter…

A: Solution is given below:

Q: Please see attached -

A:

Q: V x2 + 9 - 5 lim X→-4 x + 4

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Q: Find lim f(x) for the given piecewise function. x-6 2x + 1 if x 6 If the limit does not exist,…

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Q: Find the limit for the following functions: - 1- lim 4 x-2 x² -

A: Just simplify the given expression and cancel out the common terms from numerator and denominator…

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3.…

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: x2 - 3x – 10 lim x-6 x – 2 lim x-9 x – 4 x- 5

A: Given, The limits  limx→6x2-3x-10x-5 limx→6x-2x-4 We have to find the limit using limit laws.

Q: Find the indicated limit, if it exists. x+4 x<-5 lim f(x), f(x) = X-5 4 - x x2-5

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Q: 7. lim vx2 + x + 1 – Vx2 + 1

A:

Q: Q8:- Find the limit of the following functions:- x2 - 2xy + y (1) Lim (х,у) —>(0,0) X+y ху — у — 2х…

A: First we simply numerator by applying appropriate identities or factorization of it

Q: Consider the following function. f(x)6x-8x Find the limit. lim f (x + Δ.r)-f(x)

A: We have

Q: Find the limit of the following functions. 1. lim x+ 2 x-3 2. lim x? – 5 x-5 3. lim 2x3 - 9х + 10…

A: Explanation of the answer is as follows

Q: Find the limit of the following functions: -1+√√x-4 1) lim X-5 x-5 2) lim f(x) where f(x) = x-2 x² +…

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Q: Find the following limits for the piecewise function: f(x) = { x + 1, +5, a) lim f(x) - x-3 b) lim…

A: (a) Given that, the function is fx=x+1                x≤2x+5          2&lt; x≤4. Obtain the value of…

Q: Let f(x)=4x2 +6. Evaluate limh→0f(4+h)−f(4) / h Limit =

A:

Q: Q3: Find the limit for the following functions: - Vx-2 1- lim x-4 x-4 (2x-3)(Vx-1) 2- lim x→1…

A: Apply d'hopital rule

Q: Find lim f(x) for the given piecewise function. 2x +3 f(x) = { 5 -*+18 if x > 6 if x < 6 %3D if x =…

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Q: Determine the following limit: V1+ 4x – V1– 7x lim x →0

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Q: Q;: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(Vī-1) 2x²+x-3 2- lim X-1

A: Given that:                     1.limx→4x-2x-42.limx→1(2x-3)(x-1)2x2+x-3

Q: Determine the limit graphically, if it exists. lim f(x)= x-1+ -5 4/3 -2 -1 -1+ 1 2 3 -4, 4 -2+

A: For the graph given in figure, LHL=limx→a-f(x)=m and RHL=limx→a+f(x)=l Here from the graph, when x…

Q: Q8:- Find the limit of the following functions:- x² – 2xy + y² (1) Lim (х,у) > (0,0)( X#y ху — у- 2х…

A: We have to find the limit of the following function