For f(x)dx = lim f(x," )Ax,, determine the value of Axi. √²₁₂ max Ax, 0 Ola n 21˚ O O n 4-0 O O >18

Q: tan 3x lim x→0 \ e2x – 1 3/2 O 1/2 O 2 O 2/3

A: Solution:GivenTo find the limit oflimx→0 tan 3xe2x-1=?Formula:ddxeax=aeaxddx tan ax=asec2 ax

Q: for some function /(x), then: lim 118 [r Your last answer was interpreted as follows: f(x) dx = 0

A: The given series sum equals to the following by definition of integral.         8 0∫1 f(5 + 4x)dx =…

Q: (6x+3y)sin(2x+ y) lim (x,y)→(0,0) 4x² +4.xy+ y

A:

Q: c- 2-VX2+4 /sin?x x >0

A: To determine: The limit of

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A: A limit is a value that a function approaches as the input approaches some value. Limits are…

Q: Let f(x) = x² + 9, x > 0. Find lim f'(x) →25

A: f(x)=x2+9

Q: find L1=lim 23+i !-2 !+2

A: Topic:- calculus

Q: 7.) The depth of water in a zoo aquarium at a certain point is modeled by the function W defined…

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Q: lim ln(7-x) x →7

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Q: lim 3i 4 +

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Q: lim b→∞ 2x 22 x² + 1 -b dx.

A: To solve the following problem of integral and then find the limit

Q: 2 ež h(x) 1 - 4 What is lim h(x)? x→+∞

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Q: lim tan-¹(e* + ln x) x→0+

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Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: Prove that lim5 (x2) = 25

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Q: V = (5,7,8) w = (4, 10, 5) Find the cosine of the angle between v and w. cos = 21.25859

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Q: Q2: Evaluate: [1] 21 lim m COSXVI+ COSX – v1-x, sin-1(x) V1+x - [3] lim-o

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: 1/x e-(1+x)* Q: Evaluate: lim tan x

A: Evaluate limx->0 e-1+x1xtanx