sinx-0.5 I| lim- X- 6 Select one: True False ||

Q: evaluate the limit.

A: Given:

Q: sec x -1 lim -

A:

Q: Guess the value of lim x 0 sinx/x

A: We try to find the limit by substitution  But 0/0 is indeterminate form.

Q: 2) lim (x – T)tan5

A:

Q: tan?x lim

A:

Q: x sin a-asinx compute lim X-а

A: To find the given limit x=0 then [0sina-asin0]/(0-a) 0/(-a) 0 So, limit is 0

Q: Find: tanx-sinx d) lim x3 4.

A:

Q: sin?x-1 10. lim sinx-1 2

A: Let f,g be functions which are continuous and differentiable. If while computing the limit…

Q: tan 5x lim x-

A: Consider the following limit: limx→0tan5xx Apply L'hopital rule to the above limit:…

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

A:

Q: How do you solve question 12?

A: (12)Given:

Q: lim tan^-1 x divided by x where x is 0 would that be considered undefined?

A:

Q: tan (2x) 3. 24. lim- %3D .3

A: We replace tan(2x) by sin(2x)cos(2x)…

Q: 2Tan 'x -x 9. lim, 2x – Sin^x

A:

Q: 2x -cos(2x)- 2x - (b) lim | x2

A:

Q: sin ax lim is x0 tan bx a A. 4 В. а С. О

A: To determine the value of limit   limx→0  sinaxtanbx

Q: 2 cos x tan 7x 2b) find lim

A:

Q: Evaluate the limit. 1-x² lim *+1 sin(27x) a) lim b) x+2x² C) lim - - 2x *→(π/2)- (2-) tan r Show all…

A:

Q: x-sin 2x Find lim 2х

A:

Q: find limx->2 X-2 tanQ. Sin O 9) tan a-sin o-tanQ. Sin

A: To find the solution of given equations

Q: tan x B:: Find limx-0

A: Limit of the function

Q: Q1: limx-→n tan(x) is X-T 1

A: Given, limx→ πtanxx-π

Q: tan (x – 2) sin(r – 2)4 Evaluate: lim -

A: we want to find the value of limit   limx→2tan2(x-2)sin(x-2)4

Q: Q2) A) 1-VI+1 sinax 3) lim I+1 1) lim 2) lim

A: Given that:                       (1)limx→∞x+1x2+3 (2)limx→01-x+1x(3)limx→0sin3xx   NOTE: As per our…

Q: tan(x) Q1: limx¬n X-n is

A:

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: 8x+4-4cos?x+tanx Q1) Find lim X-0 4sin2x

A:

Q: lim メ→02-V4+x Calculate

A: We have to find the limit of the given function.

Q: Find lim tanx-x x2 sinx X

A:

Q: 1 lim x-5 I. Find

A: For x->5^+ , x-5 -> 0^+So denominator equals to 0.We can not find the limit by plugging the…

Q: lim sec x x-(-71/2)"

A:

Q: lim x---q x2/2x

A: limx→ qx22xPlug in the value x=q=q22q=q2

Q: tan (3(x+h))-tan(3x) lim h→0 h

A:

Q: cos2x - 1 Evaluate lim x +0 ex – x - 1

A:

Q: tan t sec 2t 2- lim 3t

A: Using rules of limits to find the answer.

Q: tan nx 3) lim x→0

A:

Q: 2. lim x sec 2x

A:

Q: 2tan 'x -x (-) 2x – sin 'x 02. lim, -1

A: Given limx→02tan-1x-x2x-sin-1xTo evaluate the limit:

Q: tan x-x lim х-0 х-sinx

A:

Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

Q: 7- sin-(e*) 2 lim V1 - e2x

A:

Q: -1 X +1 M Evaluate : limx{tan X+4 4

A: We have to find

Q: 3 lim tan³ 2x x→0

A:

Q: Q/Calculate limit statement lim sinx-cost XT 4 1-4

A:

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

A:

Q: Lim X+3sintx 1- Cos X

A:

Q: tan 2x 27. lim x→0

A: Find the following limit

Q: lim tan x x- ->

A:

Q: limx--1f(x) Let f(x) = (x² – 1)/C(x| – 1)

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.