25x2 - 70xy + 49y? Find lim by rewriting the fraction first. 5x - 7y (x.y)→(7,5) 5x + 7y 25x2 - 70xy + 49y² lim 5x – 7y (x.y)→(7,5) 5x + 7y (Simplify your answer.)

Q: 2n – 3n² + n 6n Find lim,→x if it erists.

A:

Q: . lim, 1 -2 Inx x-1

A: To evaluate the given limit

Q: sec x -1 lim -

A:

Q: lim, →2, 1 X – 2J2x

A: The limit of the function is given limx→21x-2∫2xx2dt1+t3. To check the limit of the function ,…

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

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Q: evaluate the limit.

A: Given  it can be written as

Q: Q3) Find: (1) lim, 1+cos 2x (2) limx→-2- (x + 2) |4-x²| 2-x

A: Q3)1Here, we need to calculate the limit of ,limx→π21+cos2x4x-π2

Q: Q. 1. Evaluate the following -x* +3x +5x –-18 lim a) 5x2 – 2x-0.5 Vx² +15 - 4 b) lim- x-1

A: Part a,Given,          limx→∞-x4+3x3+5x-185x2-2x-0.5

Q: V10x – 7y – 10 Find lim by rewriting the fraction first. 10x - 7y – 100 (x,y)→(10,0) 10x - 7y + 100

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Q: 4) lim1+ 1 = ? %3D - r-

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Q: Determine the following limits or state that they do not exist.

A: x3-5x2+6xx4-4x2

Q: Q: find lim \-c०s2 2->০

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Q: Use the graph in Figure to find each of the following:

A: Limit L of a function at x=a is the value that a function approaches from both the left hand side…

Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

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Q: 8+x-4x? Lim\ belowr → 0∞ V6+x²+7x* O a. -4/7 O b. 4/7 O c. 4//7 O d. -4/7

A:

Q: Prove the limit statements

A: Given: fx=4-2x,x<16x-4,x≥1 we know that limit of any given function at given point exist only if…

Q: lim (- %3D x2 - 2sinx + 2x O 1 42

A:

Q: 2.7h - 1 lim 2.8h 1 lim - and - h 0 h h

A: To see explaintaton

Q: 100x – 180xy +81y lim 3. Find by rewriting the fraction first. (x,y)-(9,10) 10x-9y 10x-9y

A:

Q: Зx2-х-64 17.lim х-4 х2-х-12 10х2-7 18. lim х-о Зx2-х-12 х3-81 19. lim х-0о Зx2+4x+2

A: We will solve the problem.  L.Hospital Rule will be used in the problem.

Q: b. lim -14 2r+7 is, • 0 • Not exisits • No one

A: As each question is independent to each other, I am solving first among all .

Q: 22-3r 10 d) lim z5 r2 -r - 20

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Q: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

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Q: -2ln(cosx lim, 0 ,2

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Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

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Q: lim (2x-5x) is x--2

A:

Q: Give precise definitions of the following statements.

A: Given: a.limx→2-fx=5b.limx→2-fx=5c.limx→2fx=∞

Q: If limz→-14+71i (z² + 28z) = + iy, what is the value of x – y ?

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Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

A:

Q: 2. メー gu)= - fex) = X üls Is1 3メ-1 احب lim (fog) x メー

A: We have to find limit

Q: *+xVア-2) lim )(4,16) x - Vy

A: Here we have lim(x,y)→(4,16)x2+xy-2yx-y

Q: Find: lim→1+i z2 –z+1-i i z2-2z+2

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Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

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Q: + 3х — 1 V4r6 – 2x lim -00

A: Given that:limx→-∞x3+3x-14x6-2x

Q: lim 15 13 15z2 Vr? + 8z lim %3D HY8 9-4x Vr? + 8z lim 9-4r /7

A: Given query is to find limit of the expression. Since first three has been filled correctly, solving…

Q: 2 + 3x – 4, X 1. What is lim X-+2 2.

A: Given the limitlimx→2x2+3x-42

Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: 3x? – 17x + 20 lim X4 4x2 - 25x + 36 Vx +5 - 2 lim x--1 x +1 Vx2 + 3 - 2 lim X-1 x2 -

A: Topic = Limits

Q: Find the limits

A: Find the limits

Q: 3 - Vx+4 12. lim X-5 х-5

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Q: 6h 2-lim0 tan4h

A: Given that  the limit is  To evaluate the limit

Q: 10. lim is X-- А. со B. -00 С. -1 D. 1

A:

Q: Exercises: Evaluate x2 – 1 - 1. lim 1- 2x 1 3 2x 2. lim x→2+ x – 2 х? — 4 - -

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Q: Using direct substitution, what is lim²+6z_5, Z-2 223 O 1 O 1 O does not exist

A: We have to find    limx→2x2+6x-5x2-3

Q: -10 2468 10 x -4+ ad • +8- -10- Find lim f(x) = %3D

A: The graph of the function f(x) is

Q: Find lim I -4 2+1 1 lim z - -4 +1 Show your work and explain, in your own words, how you arrived at…

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Q: o Find Lim X-→2 2-12X 2- X X #2 @ Find Lim X→2 x* _ 2x² - 8 x - 4 | O Lim 3X X3 X- 3 -3 X ¢3

A: All question are of the indeterminate form( i.e. 0/0 form) We try to remove those term for which it…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.