(x² - 3) 7. Build a table to estimate lim sin x 1 8. Build a table to estimate lim x→0 X

Q: Q2) find the value of each limit sint 1) lim(- 1+cost +tcost C+cost x+xcosx 2) lim 0 sinxcosx

A: The limits of given functions are given as follows :

Q: x-1 numerically. Vx-1 Estimate lim

A: Using rationalization method.

Q: ー2 a) lim X >6 (x-6)3 b) lim E) ゼ+t

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Q: x2 +1 Can L'Hôpital's Rule be applied to lim x→1 2x + 1

A: To check if the L'Hospital's Rule can be applied or not, first we need to find the limit by directly…

Q: x + tan x 2? — 5х — 14 - (а) lim x0 3x + 4x² (b) lim (Do not use L’Hospital rule in part(b)) x7- x2…

A: Using rules of limit's.

Q: 2. f(2)-1(;) If f(x) = arcsin x, then lim is X- 2

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Q: 7 arctan(x) Calculate lim 0 x3 + 6x

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Q: lim - 1, avx + 3 – b x - 1 lim If score А. 4 D. В. 2 С. 1 E. -INI14

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Q: f(x) = x²+13z+40 x+5 %3D f(x) f(x) -5.1 -4.9 -5.01 -4.99 -5.001 -4.999 Based on the above, what do…

A: Given ,limx→5x2+13x+40x+5

Q: sin (7x) Find the limit lim 2->0 x(Vr +2 – v2) x→0

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Q: (a) lim sih 7x (b) lim x 0 sin 7x x - 9 (c) lim x-9 x - 3

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Q: 1 f(x), where f(x) = Find lim x + 10 x→- 10- O A. - 1 O B. ∞ O C. - ∞ D. 0

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Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

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Q: 10* – 5* – 2* +1 (b). Evaluate lim- VI+x-V1-x (i).Evaluate lim- sin-!

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Q: 9. Build a table to estimate lim sin - (Hint: Use multiples of T) (x³ - 3x2 + 6– 2x) 10. Use a table…

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Q: (x)- f(1) lim f(x) = 2 , where x-1 х-1

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Q: Suppose f(x) = 8 – x². (a) Find the slope of the tangent line to the graph y = f(x) when x = -1. f(x…

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Q: Find lim. Sin (X/y X-T/4

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Q: x2 – 4, x 3 -

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Q: H.W. Find x-sinx 1. lim X-0 x-tanx

A: “Since you have posted a question with multiple questions , we will solve first for you. To get…

Q: lim,-o ([sin x]*) is

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Q: (1 – V3x lim tan- 3 + x x-00

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Q: 4. Evaluate the limits of the following functions: a) limsinx x-0 sin x-tan x 6 b) lim x-2 x2+2x-8)…

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Q: (x² - 3) Build a table to estimate lim x-0 sin x

A: Given expression is

Q: Q \ Find the value of 8 > 0 that guarantee lim x-0 csc(1/x) = 0 in terms of ɛ?

A: Definition of limit: We know that, limx→af(x)=L               ...(i) For each ϵ>0, there exists a…

Q: 2t – 1 Evaluate lim,, tan-1, e> - t - 1

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Q: 15x 5. Find lim using special limits. X→0 sin 3x

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Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

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Q: d. lim h(x) Preview e. lim h(x) = x→00 Preview f. lim h(x) = 00--x

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Q: 1. lim x²-1 al 2. Tく-X b) lim X-Sin 2x +3 c) lim Vey?-x

A: Given- limx→1x2-1x10-1

Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x<3x+5,if x≥3

Q: Evaluate limx=0+ e(1/x)

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Q: Let h(x) = (x2 - 2x - 3)/(x2 - 4x + 3). a. Make a table of the values of h at x = 2.9, 2.99, 2.999,…

A: First, we factor numerator and denominator. Then we simplify for x not equal to 3. Then use this…

Q: 1 d) limy-→0- e) lim,o (1+ r/n)" 1 f) lim→0 x +

A: L'Hospital Rule : If limx→af(x)g(x) is in the form 00 or ∞∞, then limx→af(x)g(x) = limx→af'(x)g'(x)

Q: Along the path x = e" %3D find y +4xy lim (x,y)-(1,0) 3x – y - 3 does not exist O -2 -3 2 0 3

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Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A: Solution. :

Q: 0/0 Form Estimate the value of 21 – (3x + 1)V + 2 lim by graphing. Then confirm your estimate with…

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Q: x - 2x What is wrong with applying L'Hôpital's Rule to lim x+0 3x – 2

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: x4/7 – 1 lim f'(a) where x→-1 x + 1 f(x) = and a = x4/7 lim x + 1 1 х>-1 II

A: Explanation of the solution is given below...

Q: 9. Build a table to estimate lim sin 1 (Hint: Use multiples of T) (x³ – 3x2 + +6– 2x) 10. Use a…

A: As per the guidelines we are suppose to answer only one question. Please repost the remaining…

Q: (x² - 3) 7. Build a table to estimate lim sin x

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Q: 2 cosh 2, 2 0. Then the lim f(x)

A: Given function is fx=2coshx , x<0sinhx  , x≥0

Q: x' -x+1 Evaluate (iii) lim 5x' +7 and show work

A: The given limit can be evaluated by taking x3 as common from numerator and denominator

Q: alignment at x² + x – 1 limx→ 2x2 — х + 1 has a horizontal at???

A: Topic = Limits

Q: Q2) Find : (a) lim (2 + x) x-4+ 16-x 1-secx 0 sinx cos2x sintx (b) lim (c) lim (d) lim x-0 sin2x…

A: Dear student, According to bartleby guidelines when student post more than one question then expert…

Q: Along the path x = e" find y +4xy lim (х.)- (1,0) Зх — у -3 does not exist O -2 -3 2 0 30

A: Explanation of the answer is as follows

Q: 1 x |=? Use L'Hospital's Rule 4 lim- 5 arctan -4 arctan 5 xVx

A: