Compute the following limits if they exist. sec x – 1 (a) lim I0- x – sin a (b) lim I40 x – tan x 2 - VI (c) lim 21 3 – V2x +1 1 (d) lim x sin

Q: Find the limit. 15) lim V3 + cos2 x A) 2 16) lim (3 sin x - 1)

A:

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 limit using lim sinx 1. X-0 x 5) lim sin(sin x) x0 sin x A) -1 B) 1 C) does not exist D) 0

A:

Q: 2. Find the limits. limx→-1 sin(x² + 3x + 2) x³ + 1 M

A:

Q: Find the limit. sinx cos 4x lim x-0 x + x cos 5x 4 A) 을 B) 0 530 C) D) Does not exist

A:

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

A:

Q: 1. Find the limit of the following functions: lim 00x/3+ cos x 1-cosx lim X-0 sin2x

A: To find the limit of the given functions

Q: 1. Find the following limits. 2 sin(2x) – x (a) lim

A: Our Aim is to find the limit of the following expression given below:-limx→0 2 sin (2x)-xx-(i)

Q: lim 4 sin(x + n) + 3

A:

Q: Evaluate the limit. –1+}² 1.2 COS I lim 2.x4

A:

Q: Evaluate the limit sin 9x lim x →0 sin 3x

A: We can solve the problems by finding the value of the function at  the given limit.

Q: Q3: A- Find the limit for the following functions: - tan2x 4х-3 Зx3-9х2 +х-3 1- lim x→0 sin4x 2- lim…

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

Q: Find the limits in Exercise

A: Given,

Q: Compute the following limits if they exist. tan x x – sin x (а) lim 0+ Vx (b) lim (c) lim tan x- seC…

A: We have to find the limit

Q: Find the limits lim x→ -1+ cos-1x

A: We find the limit by substitution

Q: How to evaluate the attached limit.

A: The given limit is,

Q: Evaluate the following limits: 1. 2 sin x - sin(2x) -x-sin x (a) lim 25 -t2 (b) lim 15 tl 11m,…

A: Hi, since there are multiple sub-parts in the questions posted, we will answer first three subparts.…

Q: Q3. Compute the following limits if they exist. sec a - 1 (a) lim x – sin r (b) lim 20 x - tan r 2 –…

A: Q.3 part a) Substituting the limit in function, This is indeterminate form 0/0,

Q: (b) Find the following limits i. lim _(sec x – tan x) sin(2x) ii. lim x-0 tan-'(5x)

A: Given:

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: Evaluate the following limits: 1 1 (i) lim{ sin -+cos- X X 1/x 1/x +a, 1/x a1 + (ii) lim ..... ,a1…

A:

Q: Q3. Compute the following limits if they exist. SEC x – 1 (а) lim x→0- sin x (b) lim x→0 x tan x 2 -…

A:

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: Find the limits

A: We first try to find the limit by substitution

Q: Find the two limits: sin 2x lim r-T/2 COS x

A:

Q: Compute the following limits if they exist. sec x – 1 (a) lim x – sin x (b) lim x→0 x – tan x 2 - VI…

A:

Q: Find the limit. sinx cos 4x lim x-0 x + x cos 5x A) 3 B) 0 C) D) Does not exist 4/5 -/2

A:

Q: Find the limit. sin(x – 3) lim х>3 x* + 5х — 24

A:

Q: tanx - x x-0 x - sinx 1. lim

A:

Q: Evaluate the following limits: x + sinx lim х-оо 2х + 5 lim - х-0 tan3x 1- Vx lim x-1 1 - xX x. Sinx…

A:

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

A:

Q: Compute the following limits if they exist. sec x – 1 (а) lim x – sin x (b) lim I-0 x – tan r

A:

Q: Find the limits lim x→1- sin-1x

A:

Q: Q1- Evaluate the limit :- 1- lim - ( - cos) (1+ sin ) ) (1 + sin±)

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

Q: Find the limit. lim x→4  sin(x − 4) x2 + 5x − 36

A: To Determine: find the limit of  limx→4sin(x-4)x2+5x-36 Given: welimx→4sin(x-4)x2+5x-36 Explanation:…

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

A:

Q: Evaluate the limit sin 9x lim I0 sin 3x

A:

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

A:

Q: Find the limit. lim tan(9t) t→0 sin(3t)

A: before we solve the following question we need to know the limit of the trigonometry function which…

Q: Find the limit using tables sin x (use radians) : lim -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01…

A: From the given problem: yx=sin(x)x So, At x=-0.1 y-0.1=sin(-0.1)-0.1=0.99833 At x=-0.01…

Q: Find the limit. lim 7 sin(x)

A:

Q: Q.3/ Find the limits for the following: 1) lim sin 7x 2) lim x0 sin 5x 3) lim V-3 x→9 ズ-9 x1x3-

A: We will find the limit.

Q: Find the limit. (e-sx cos(^) lim X- 00

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 limit. 1 lim COS x-4 4

A:

Q: Find the limit. tan(12t) lim t-0 sin(4t)

A:

Q: Compute the following limits if they exist. sec r - 1 (a) lim I0- r3 x – sin x (b) lim I0 x - tanr 2…

A: We are entitled to solve 3 subparts of first question so, I am providing you the solution of the…

Q: 1-sin x 18. lim TL X- 2.

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.