dx 1.- |x| O a dx lim da + lim ² a +0 x b+0+ .a de dx lim a 0 SLE S L' de lim b→0+ x O lim a-1+ o + lim a 0 S dx dx + lim 6+1 x dx |x| a dx lim a+01 x Soº dx x

Q: lim a. x° + 3 6x lim b, x + 4 6х - 5

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Q: Functions f and h are differentiable functions with h(2) = 5. x² - 4 64 – (ƒ(x))³ The function h…

A: Given that  and

Q: х-tanx 2. lim х30 1-со 3 3. lim sinx lnx = 0 x→0+

A:

Q: tan( xy) lim (N.y)-(1.0) y+ 2xy (a) o (b) (c) (d) (e)

A: From the given information. The multi variable limit is as follows. limx,y→1,0tanxyy+2xy

Q: 4. Proof Prove that lim x"y" dx dy = 0. n→∞

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Q: х2 +x — 2 Vx + 4 – 2 - - (а) lim x→-2 (b) lim x + 2 y y 2 1.00 1 0.75 0.50 -3 -2 - 1 1 2 3 -3 -4 -3…

A: (a)limx→-2x2+x-2x+2blimx→0x+4-2x

Q: 3 sen y lim (xy)-(3,0)

A: Since lim(y tends to 0) sin( y)/y=1 Therefore, lim(x,y)tends to (3,0) x^3sin(y)/y=(3)^3×1=27

Q: I 2) Assuming that f(x) is continuous at x=6 and lim x→−6 the value of f(-6). Show your steps…

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Q: Lim x-[xs メ→? 2X2 2x?_8

A: To find the limit

Q: Q3// Evaluate (a) lim,4 VE-2 S-V49 sin 3y cot 5y (b) limy-o y cot 4y

A:

Q: x² - 7x y +12y Evaluate lim(x,y)→(3,1) х- Зу

A: The given expression is limx,y→3,1x2-7xy+12y2x-3y

Q: Let f be defined in (a, b) and differentiable at xo E (a, b). Let (xn), (Yn) be such that a < xn <…

A: Here we need to construct a bounded sequence {λn}  , which is bounded.

Q: V 2x - lim =? X→1 Vx3 + x – Vx² + x 1 + 2 + ...+n lim =? n2 n→∞

A: We will solve the problem

Q: 4x +4 lim (2,y) (-1,2)` x² + 3xy – 3y2 + 3xy - 3y2

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Q: if fn(x) – f(x)|dx = 0 lim show 1 |fn(x) – f(x)| |1+ fn(x)f(x)| lim dx = 0

A: In the given question w have to prove that if the integration  limn→∞∫01fn(x)-f(x)dx=0then…

Q: eim 2メー5 メ4 -2 z lim Vx+4-1-x-2 メ→ メ+3 lim 2-X Z-メ 24メ

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Sketch the graph of a continuous function y =f(x) that satisfies the following conditions: 1. f'(x)…

A: This question is about graphing a function

Q: r' -8 Here, II stands for the product. r' + 8 n Evaluate : lim || .3 r= 3

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Q: x tan (x²) The limit lim (x,y)→(0,0) x2 + y4

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Q: Write the following integral as a limit. 12 2x dx o x2 -4

A: To write the integral as a limit

Q: lim, f(x)= 0, then | f(x)dx diverges

A: Statement:  limx→∞ f(x)≠0,  then ∫1∞ f(x) dx   diverges.

Q: Using the Sandwich Theorem

A:

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: Home Work. Find: Sx² + 3 4x O Let f(x) : , x >1 Find lim f(x) and lim f (x) %3D x-2 , x <1 x-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: laqbola Jassim & Tuqa W. Ahmed = Example (2): Find f'(x) for y = mx + b: Solution: %3D f(x + h) -…

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Q: A function y = f(x) is defined and continuous for all x. This function satisfies all of the…

A: