x2-kx+6 The value of the constant k such that lim exits is X1 X-1 O -7 en 8. -8 0 7

Q: x2 -36 (c) lim I-6 x+ 6

A: We can make it easier for you

Q: f (x) -f (2) The value of lim if f(x) =2x2+ 1 X-2 x- 2 A 2 B 4 D does not exist

A: We will solve the problem

Q: x+x? ii] lim 3-x

A: we have to find the limits algebraically

Q: '+x-2 -? х—1 What is lim x-1 а.4 b.5 с. 6 d. 8 O a O b Ос O d

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Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

Q: 1²+2r-8 1+2√√√²+5-(x+1) (h) lim

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Q: V6-x-2 If f (x) = Solve to find lim f(x)? х--2 V3-x-1'

A: On putting 2 we get 0/0 .  So it is indeterminate form.

Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

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Q: t3 – 1 (c) Lim = 3. t-1 t-1

A: Using limits approach, the given question has been solved in step 2.

Q: 2x - 4 Evaluate lim x+2 x2 - 4 x² – 4 O a. 0.75 O b. 0.25 O .1 O d. 0.5

A: Given: The given function is, limx→22x-4x2-4 The objective is to evaluate the given function using…

Q: lim -5 -1 X→2 lim (s – 1)(s + 7) -2 s→-7

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Q: 16. lim, (1+) =c, then lim, (1 + =? A. 2e B C.eD. e В. X→8∞

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Q: 2-x- 6 lim +3 2x -x - 15 1. Value of is 5 A. 11 D. 2 1 5 E. 11 В. С. 1

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

Q: 2х e -1 (2) Lim (H.W)

A: To evaluate the given limit

Q: x-2 Find the lim , x-2

A: Solution:To find   limx→4 x-2x-2

Q: x'+3x? +3x+1 (3) (i) Find lim 2x +3x? –-1 1-3х (ii) Find the values of A, so that the function f(x)…

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Q: |x² – 4| The value of lim Z-12 I using a table of functional values is_ 2 O 2 Does not Exit O -2 O 3

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Q: Please show step-by-step solution for the problem below!

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Q: 2 [x³ + 64] lim x→-4 x² – 16 -6 36 O -36 6.

A: We need to evaluate: limx→-4x3+64x2-162 This can be evaluated as follows:

Q: e * + e ¯* - 2 a) lim x-0 2.

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Q: x - 6x +5 8. lim X5 x- 5 (-5+h)' - 25 10. lim h-0

A: Given: To Find: Value of limit

Q: ax? + 15x + 15 +a lim X--2 1) Find value a such that exists. Then find the value of the x2 +x- 2…

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Q: 2х -1 The value of lim, is 2x2 +1 1 x→-- 2 a) 3 2 b) - 4 | d) 3. 4 3. 3.

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Q: 2 points f(4+h)-f(4) If f(x) = ax + 8Vx and limh-0 = 5, %3D 3h then a= 13 O 17 O 12

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Q: x²-9 Find the limit (if it exists) lim x-3 27-x3 A. B. 9 C. 0 D. DNE

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Q: 3x, -3x. Find lim X00 e3x+e-3x

A: *concept:- to find the limit for x tends to infinity, try to find exponential term with negative…

Q: x*- 1 Find Lim- x-1 x+1 A. 08. B. -4 С. D. 0 Select one: C O C. O A O B O D 8 Olo

A: L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is…

Q: (2 + h)-1 – 2-1 lim h0 h

A: Simplify 2+h-1-2-1h by taking LCM in nominator,then apply limits.

Q: Calculate the following limits using the factorization formula

A: Note : As per our guidelines, I have solved 1st question. If you want the answer of other question,…

Q: x+x-5 (1) Find lim 1-2x-x

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Q: t3 – 1 = 3. t-1 t-1 (c) Lim

A: To evaluate the given limit

Q: x4 +3 is r00 6x5 2 The answer to lim Select one: O a. O c. 0 O d. 3/2 e. 1/6

A: Given , limx→∞x4+36x5+2 We need to calculate the limit value Now in numerator taking x4 common and…

Q: 2-x- 6 lim x→3 2r -x- 15 is 1. Value of A. 11 D. 2 5 E. TT С. 1 B.

A: We have to find the value of the limit limx→3x2-x-62x2-x-15    limx→3x2-x-62x2-x-15…

Q: Find each limit, if it exists.

A: Evaluate: 1. limx→∞ x2+2x3-12limx→∞ x2+2x2-13. limx→∞ x2+2x-1

Q: 8x³ - y³ 3 lim (z,y) (1,2) 2x - y Select one: O equals 12. O equals 0. O None of them O equals 4. O…

A: Lim(x, y) -(1,2)(8x3-y3)/(2x-y).

Q: lim x? O1 -25 25 -1 ||

A: The detailed solution is given below Thank you

Q: I +x +5 10. lim + +1

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Q: lim z-1 -1 -1 m, n > 1 is Select one: a.-m b. -n C. d.

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Q: x - 1 i x? - 1 x² : Guess the value of lim

A: Given limit : limx→1x-1x2-1 We know that a2-b2=a+ba-b limx→1x-1x-1x+1limx→11x+1

Q: 3 X* +X - 3 5. Evaluate lim 3. 4x

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Q: (2? + 10) /ª. Find lim 1/3 I+ -3 1/3 lim Z + -3 g(?² + 16)/ .

A: find the limit

Q: 2-81 x-9 3(x - 11x + 18) Evaluate lim A. 1/3 B. 54/7 O C.O O D. -6/7 O E. 6/7

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

Q: n+an-1+an-2+...+ hat is the lim ´x→∞ (n − 1)x¹−¹ + (n − 2)xn−2+...+ï' −‚n €Z+?

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Q: Pregunta 19 The value of x2 lim - За + 2 x>-2 х — 2 - is O a does not exist b -3 2 d. 1

A: Topic - limits

Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

Q: If lim 2 f(x) = 2 and lim-2 9(x) = 3, %3D then the value of limp-2 3f(x) g(x) is а. 3 b. 2 c. None…

A: Explanation: Given that,  limx→2f(x)=2limx→2g(x)=3   Let us assume: f(x)=xg(x)=x+1

Q: – e4 - 36. lim x - 2

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Q: х2-2сх+с2 6. Find lim X→C X-C

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Q: x2-x+k 5. For what value of k does lim- exist? x→3 x-3 А. З В. 1 С. —6 D. -12

A: Here for the limit to exist the denominator must completely divide the numerator or you can say the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.