(a) Find the following limits: | sin lox (ii) Lim (k is constant)

Q: Find the limits in Exercises

A: To find,   limθ→∞cosθ-1θ  Let y=limθ→∞cosθ-1θ Limit is tending towards positive infinity, let us try…

Q: The value of the limit lim is x-0 sin x а) 0 b) 1 1 c) d) ∞

A: Given options are wrong.  Limit will be e^(1/6).

Q: Find the limits x2/3 + x1 lim X00 x2/3 + cos?x

A: Given: The function is f(x)=x2/3+x-1x2/3+cos2x   To determine: limx→∞ x2/3+x-1x2/3+cos2x

Q: Find the value of the limit lim tan 2 x (a) 1/3 (b) 2 (c) 1 (d) 4 (e) 3

A: To find:

Q: The value of the limit lim a) 0 b) 1 c) d) ∞ 1 X x-0 sin x sin x 6 is

A:

Q: Find the value of the given limit. lim I 0 tan(4x) I

A:

Q: How do I find this limit?

A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule…

Q: 0: A- Find the limit for the following functions: - 1- lim tan2x X0 sin4x 4x-3 3r-9x²+x-3 3- lim 2-…

A: Givenjn

Q: Find the limit. lim e 3t i е j + Sin2 tan(5t) k) t 0

A: The given expression is,

Q: 1 1 (b) lim x-0 'tan x e* – 1 -

A: =?

Q: Find the limits

A: Given:

Q: Find the limits lim e sin -!

A: Given

Q: Find the limits

A:

Q: Determine the following limits analytically.

A: Given, limx→π3sinπ3-x2cosx -1

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: The derivative of the function using the limits is obtained by the formula f'(x)=limh→0f(x+h)-f(x)h,…

Q: O:: A- Find the limit for the following functions: - tan2x 4x-3 3x3-9x²+x-3 1- lim x→0 sin4x 2- lim…

A: A) Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: Find the limit of the trigonometric function.

A: Given: limx→π2sin x To Find: The limit of the given trigonometric function

Q: x cos(2x) (c) lim x-0 sin(-3x)

A:

Q: C- The result of the following limit is lim 1-0 sin t² t f

A: limt→0sin t2t

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim t-0 eSi + sin(2t). -) +…

A:

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: ■ Find the limit.

A: Here limx→∞sin2xx2=limx→∞sinx2x2.

Q: C-The result of the following limit is sin t² lim 1-0

A:

Q: lim (sec x)cot x X-

A:

Q: Q2.) Find the limit lim X+x cos x 1. X→ 0 sin x cos x

A: We find limit x+ x cos x lim X → 0 Sn x cos x

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: Find the limit of the trigonometric function.

A: Given:limx→0 sec2x

Q: O3: A- Find the limit for the follo tan2x 1- lim x→0 sin4x

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: sec(x) – sec(a) lim x - a

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Use l’Hôpital’s Rule to find the limits

A:

Q: plot the function and use the graph to estimate the value of the limit.

A: Given: y=limx→02x-cosxx we know that graph of given function can be drawn as below

Q: For the limit, lim (x,y)-(0,0) if we approach along x-axis, we will get 0. Select one: True sin(x² -…

A:

Q: Find the limit. lim (e-4t i - j+ sin(6t) k sin?(t)

A:

Q: Find the limit. lim est - 1 t-0 sin(t)

A:

Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

A:

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: Find the limit. est - 1 lim t-0 sin(t)

A:

Q: sin²t t3 lim t-0 sint

A:

Q: Find the limit lim, n cos(x +x) / sec(x) + 5

A:

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

A:

Q: The limit of the ratio test simplifies to lim f(n) where n→ ∞ f(n) =

A:

Q: Use l’Hôpital’s rule to find the limits

A: Let the given limit be L - L = limx→0 x2lnsecxUsing L-hospital rule, differentiating numerator and…

Q: Find the limits

A:

Q: ´ 1/x? sin x lim x>0

A:

Q: Find the limit. lim sin(9t) i+ e-tj+ 6k

A:

Q: Find the limit of the trigonometric function.

A: Given, limx→2-sinx12 To solve the above limit.