Find the limit. lim → 2 (1 i=4j+ 1² k) i. lim 1-2(ti-4 j+¹² k) = + j+ k

Q: Assignment. Qn.GmE valuate Lim 5x-4 -X X-1 (b) Compute Lim 3* X-2

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Q: Estimate the limit numerically. ++7,000x³+ 800,000 lim 2x° + 1,269x³ 8. O to∞ 2.

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Q: Find the limit. 시h2 + 10h+ 19-119 lim h vh? + 10h + 19 - /19 lim h h→0* II

A: Given: Limit equation is given.

Q: Find lim (x,y) →(2,0) 2x - 7y #4 √√2x-7y - 2 2x - 7y - 4 √2x-7y -2 2x - 7y-4 lim (x,y) →(2,0) 2x -…

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Q: Find the limit L. 2x + 10x + 8 lim X→-4 x + 4 L =

A: Solution-

Q: find the limit of rational function (a) as x→00 and (b) as x→ -o. 3x7 + 5x? – 1 f(x) 6x3 7x + 3 -

A: (a) Given f(x)=3x7+5x2-16x3-7x+3 For x→∞…

Q: What is the value of x² – 9x + 20, lim r→4 x² + 2x

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Q: C Lim x+h -rx , hto. H.. h.

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Q: 3n -4n + 3 + i 10-3n - 2n° (n + 2) - 9 mit: lim 2 4 + 7n? 2-∞

A: To evaluate the limit: limn→∞3n2-4n+310-3n-2n2+i(n+2)2-94+7n2

Q: Find lim r(t) t →∞ 3t if r(t) = (2+e¯³)i + 2tan ¹tj + - 4t³ – t 2t - t³ k

A: If rt=2+e-3ti+2 tan-1 tj+4t3-t2t-t3k, then to find limt→∞ rt.

Q: Find the limit. lim (x,y)-(49:49) 2 x+y #49 x + y - 49 √√x+y-7 O A. 7 OB. 0 O C. 14 OD. There is no…

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Q: Find the limit. V17x + h – V17x lim h→0 h

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Estimate the limit by substituting smaller and smaller values of h. (4 + h) – 64 lim- h→0 h Round…

A: Estimate the limit by substitution.

Q: Find the following: i. Lim →x/+9x/6x/−4x/ ii. Lim →(2x−1)/−3x−5

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Q: Find lim (x,y) →(7,0) 7x - 5y #49 √7x-5y-7 7x - 5y-49 by rewriting the fraction first.

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Q: 2x + 1 If t(x) find lim,-o t(x) %3D 8x + 1

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Q: lim (i-8j+² k) 4 lim (r 1-8j+² k) = 1+ 16

A: We have to find the limit

Q: Find lim h→0 (a + h)² − a² h O a O b Ос Od 0 does not exist a 2a

A: Given query is to find indicated derivative.

Q: Let 7' (t) = Find a parametric equation of the line tangent to r(t) at the point (59, 0, - 2.303)…

A: Let r(t)→=4t4-5,t4-t4,-ln(5t) and the point 59,0,-2.303. The objective is to find the parametric…

Q: Which of the following is the answer of x² - y² ·? lim (x,y) (5,5) 2x - 2y Select one: -5 O 5/2 05 O…

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Q: -4x + 2 if r 2 Let f(r) = %3D -5x +4 if r > 2 Find lim f(x), if it exists. z+2 O DNE O-12 -6 0.

A: Given, fx=-4x+2 if x≤2-5x+4if x>2 We have to find limx→2fx if it exists.

Q: Find the limit. lim (x,y) → - (49-49) 2 2 x+y#49 x+y-49 √x+y-7

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Q: Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

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Q: Find the limit algebraically. lim (V25x2 +x – – 5x)

A: the given limit is: limx→∞25x2+x-5x we have to find the value of the limit.

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…