Determine the following limits. sin x lim xSo e

Q: Evaluate the following limits.

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Q: Guess the value of the following limit. sin(x) lim

A: The given function f(x)=sin(x)x is not defined when x=0

Q: Find constants a and b so that each of the following limits is true. Va + bx а. lim 1 = 2 b. lim tan…

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Q: Find the following limits if they exist. 1 lim 1 a) b) sin x-1 lim cos x

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Q: Evaluate the following limits. cos x – 1 3. lim I-0

A: To evaluate the given limits :-

Q: sint 1 COs t 13. lim t+0 t t

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Q: Use L'Hospital to determine the following limit. Use exact values. lim (1 + sin 62) = z→0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: 3 (b) lim (sin r) In x I 0+

A: We have to find limit

Q: ind the following limits using I sin(Tx) lim -0 tan(ex)'

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Q: 1. Evaluate each of the following limits: sin q-sin a c. lim q-a

A: We apply L- hospital rules.

Q: Determine the following limits. lim (csc x – cot x)

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Q: (b) Find the following limits. Do not apply L'Hospital's rule. x2-4 lim x+2 x-2 (i) sin (31) (ii)…

A: Explained below

Q: 5. lim sin TT (sin- 3. x→0 2

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Q: (sin r' 1/r (а) lim I >0

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Q: Evaluate the following limit. sin x lim sin x lim (Type an exact answer.) X0* II

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: lim x-3 2…

A: We have given to find limit  Let ,  y=limx→3x2-2x-3x-3 y= limx→3x2-3x+x-3x-3 y= limx→3xx-3+1x-3x-3…

Q: Use L'Hospital's rule to determine the following limit. Use exact values. e1a – 1 4x lim x →0…

A: We apply L-hospital's rule, when we get 0/0 form.

Q: Evaluate the following limit. sin(cos a) lim tan x O A. -2 B. O C. O O D. -2 O E. 2

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Q: ■ Find the limit.

A: Here limx→∞sin2xx2=limx→∞sinx2x2.

Q: Choose the correct answer for the following limit So sin t3 dt lim 2 x4 (A) (B) (C) 8. (D) (E) (F)

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Q: Evaluate the limit: sin t lim t

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Q: Find the value of the limit lim sin 6 t t - 0 sin 4 t (a) 2 (b) 1.5 (c) 1.7 (d) 1.9 (e) 1.8

A: Recall the famous rule of limit:

Q: Which of the following limits can be evaluated without l’Hôpital’s Rule? Evaluate each limit. sin x…

A: Compute the limit limx→0 sin xx3+2x+1 as follows. limx→0 sin xx3+2x+1=sin 00+0+1=01=0

Q: Evaluate the limit lim (x,y)→(1,1) V(a - 9). sin(x – y) x2 – y? O A. OB. OC. 3 OD. 5 O E.

A: option B is correct

Q: Evaluate the following limits. sin- (e") 1. lim 2 V1- e20 1 1 x + sin 2. lim

A: On solving this we will get

Q: 1. 14. lim COS sin t

A: Given: limt→0 1-cos(t)sin(t)

Q: Use the definitions of the hyperbolic function to find each of the following limits. lim x→∞…

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Q: Determine if the following limits exist: x2 + y? (a) lim (x.y)→(0,0) e# + y² – cos(y) IVly[ sin(y)…

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

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Q: Calculate the following limits. x² – sin²2x lim X→0 x2

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Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: Find constants a and b so that each of the following limits is true.

A: Given: limx→0a+bx-1x=2limx→1tanax-a+b-2x-1=3

Q: Evaluate the following limits. x + sin(x) +2Vã x + sin(x) a) lim

A: NOTE***As per bartleby guidelines for more than one question, only first to be answered send other…

Q: csc? x-2 lim lin cot x-1 4 2 lim (x sin) X→+0 lim sec x 2

A: Let us consider the limit of the function limx→af(x)g(x) If the limit is of 00 form then  Apply…

Q: ind the following limit. x2 + 1 lim (x, y) - (0, 15) arctan + (y – 15)2,

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Q: Choose the correct answer for the following limit sin-1(x) – tan-1(x) lim x→0 2x3

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Q: Find the following limits (if they don't exist write DNE, ∞o or -∞o as appropriate): Answer: lim h→0…

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Q: Use the following trig identity to rewrite the limit: Use sin(A+B) = sin(A)cos(B)+sin(B)cos(A) and…

A: We have to find

Q: b): Evaluate each of the following limits: x5 sin? 2)lim x+00 x* + 1

A: Given,

Q: Evaluate the following limits if they exist. 1 — х — е" a) lim 2(1 — е") b) lim (1 + sin x)'/= sec x…

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Q: 1+x-e* 1-cos x lim x-0

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Q: Use L'Hospital to determine the following limit. Use exact values. lim (1+ sin 4x)

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Q: Calculate the following limits. cos x 1) lim (tan x)cos* x² – sin?2x 2) lim x→0 x2

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Q: Find the limits of the following: A. lim X-3 B. lim x sin-

A: A. Let L=limx→3x-21x+13 ⇒L=limx→3x-2x+33x        =limx→33x(x-2)x+3        =3(3)(3-2)3+3…

Q: Please show step-by-step solution

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Q: Determine the following limit. sin x lim x0 X + 16

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Q: 1 – cos(x² + y?) x2 + y? - lim (x,y)→(0,0)

A: Given lim(x,y)->(0,0)1-cosx2+y2x2+y2 find out the limit if it exists

Q: ´ 1/x? sin x lim x>0

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Q: lim xT/4 2 sin x

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Q: Find the following limits if they exist. b) lim(x+ e*}.

A: Given that, limx→0x+ex1x Simplify given limit as follow: elnlimx→0x+ex1x