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

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: find the limit of each function (a) as x→ ∞ and(b) as x→ -∞. (You may wish to visualize your answer…

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Q: Refer to the figure below to find the limit lim f(x). X - 00 3.5- 2.5- 1.5- 1- 0.5- 2.

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Q: Find the limits from the given graph of f(). -2-1 1 2 3 4 S lim f(x) T0-

A: The graph of the function fx is given as ,

Q: 2e/= c. lim 2+00 el/: + 1

A: Given- limz→+∞2e1ze1z+1 To find- The value of the limit.

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

A: →When limit is of the form 00or ∞∞ (Indeterminate form)then L Hospital's Rule is used , In L…

Q: Find the following limits (a) by investigating values of the function near the x-value where the…

A: Given: limx→1x4+4x3-9x2+7x-3x-1 Part a: Now we find the function near the limit Now take the values,…

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 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: Evaluate the limit of x approches 0 on the function (2e^(9x)-2)/(7x)

A: The given limit of the function to be evaluated is,

Q: Find the limit (if it exists). |x+7-3 lim x → 2 x- 2 а. 6 b. 1

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Q: 4.) x²-9 lim X-3 x-3

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Q: Find the limit of the following. (x+ /x? x< +9x – 4 lim X→ - 00

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Q: 10. Find the value of the limit or state that it does not exist b) lim f (x) =

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Q: Find lim f(x) for the given piecewise function. x-4 2x +2 if x 4 If the limit does not exist, enter…

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Q: (x + 3)² lim – 9 = 3 2x

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Q: (3) Evaluate the limit, if it exists. (h + 7)² – 49 h (a) lim h0 1² + 3x – 4 (b) lim 1² + x +12

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Q: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: Find the limit of the following functions:

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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: For which of the following functions does the limit as x → 2 exist?

A: Given: 1.limx→2x-2x-22.limx→2sinx3.limx→2x2-4x-24.limx→2x2+16x-225.limx→2x2+x2x-16.limx→2tanπx4

Q: 2x+3y lim (ху)- (2,-1) 4х- Зу

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Q: Determine the limit by sketching an appropriate graph. for x <4 S-3x - 4 8) lim f(x), where f(x) = {…

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Q: Vx-2 lim х+4 х-4

A: To evaluate: limx→4x-2x-4

Q: Find the limit of the function 2x-1 ists): lim 2r-x x0.5

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Q: Determine the limit of the following functions: x² – 2xy lim (x,y)¬(2,1) x² –4y2 2х-Зу lim…

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Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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

A: Topic:- calculus

Q: Sketch the graph of the following functions and find the limit if it exists. i. lim f(x) x →-4 4 If…

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Q: Find the limit of the following functions through the numerical method by completing their…

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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: Q2: Find the limit of the following function; бе4x — е-2х lim x-00 8e4x – e2x +3e-x

A: Given, limx→∞6e4x-e-2x8e4x-e2x+3e3x

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: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: Given the function y = (x2 – 5x + 6)/(x-2), (x#2), find the left-side limit and the right-side limit…

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Q: lim -2)2 x-2 x2-4 3.)

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Q: find the limit if it exists lim f(7+h)-f(7)/h for f(x)=-x+1 h -&gt; 0

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Q: 2x2 -7х — 4 9) lim х-4 х2 — х — 12

A: From the given problem: limx→ 42x2-7x-4x2-x-12 So, we can simply write as: limx→…

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: If the limit of a function f at x-3 equals -4, then which of the following are true?

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Q: Find lim f(x) for the given piecewise function. 2x +3 if x 6 If the limit doe not exist, enter DNE.

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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: (x+2)(x² – v²) lim (x.5)(L1) /x² – y² +1-1 (x,9)(11)

A: The solution of given problem is followed by

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: 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 the following limit, then enter your answer in the form a/(x+b)(x+c) 1 If f (x) = find lim x+2…

A: This question can be solved using the concept of limit and function

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct…

A: The given limit is limx→-3x2-3xx2-9

Q: Q:: Find the limit for the following functions: - VI-2 1- lim4 X-4 x-4 2- lim 2r-3)(vI-1) X-1…

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Q: Q2/ Find the limit of the following function: 3x-r 2+3x 2. limx→∞ 7x² -5'

A: The objective is to find the limits limx→∞2+3x7x2-5 Now, limx→∞2+3x7x2-5 represents ∞∞ form.

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