() -1 lim sin

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

A:

Q: 1+sin x lim

A: Given that,  limx→∞ 1+sin xx To evaluate  limx→∞ 1+sin xx=limx→∞ 1x+sin xx=limx→∞ 1x+limx→∞sin xx=0…

Q: x łan 5x sin? (2x) lim

A:

Q: 1-cos' (x) lim

A:

Q: Evaluate using substitution. lim 3 sin x x→ -π/2

A:

Q: sin x 3. lim х-30 1 — соSX

A: L Hospital rule

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: -1 sin (5x) lim

A: The given expression is limx→0sin-15xx the given expression is the indeterminate form 00 Apply L'…

Q: tan(5x) 2. lim 3x

A:

Q: tan x lim x→(T/2)- 2.

A:

Q: sin 3x lim ,-o e-1

A: We know that

Q: sin 5x lim, X→0

A: Given, limx→ 0sin5xx   Apply the L'Hopital's Rule: limx→ 0sin5xx=limx→ 0cos5x· 51

Q: (:) -*) Evaluate: lim 1 ба" sin 6.

A: Topic-limit calculation

Q: Evaluate lim (sin z)an. 10.

A: **As per our guidelines we are allowed to answer only one question at a time. Kindly please re-post…

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

A:

Q: tan 5x Evaluate: lim A. -5 X-0 sinx В. -1 С. 1 D. 5

A: There two results of the limit  If  limx→0tan xx , then  limx→0tan xx = 0  If  limx→0sin xx , then…

Q: et - e- е limr0 2 sin x

A:

Q: lim, ol cos(a)x – cos (b)x

A:

Q: cos x2 - 1 2. Find lim→0 2x 81,341 123

A: Answer and explanation is given below

Q: e2x - e 2x 3. lim, 0 sinx

A: To evaluate the given limit.limx→0 e2x-e-2xsin x

Q: tan 2x 5. lim→0 sin 5¤

A:

Q: cos x lim

A: the given limit is                   limx→∞cos(x)x as the limit applied directly cannot give the…

Q: Q\ Find lim tan(x)cos(x) O 2 -1

A: The given limit is of the form ∞0 form. Let L=limx→π2-tan xcos x⇒ln L=ln limx→π2-tan xcos x…

Q: sin (z) lim 10 - 1 00 20

A:

Q: 1 Evaluate lim 1 sin

A: The given limit is limx→∞1sin1x Let x=1/z z=1/x when x tends to infinity z tends to 0

Q: tan (xy) = ? lim (х, у) ->(1,0) у + 2хy

A:

Q: sin TX Q.3 Find the lim, 0 sin 3x

A: the given limit is: limx→0sinπxsin3x we have to evaluate the given limit.

Q: tan (3x) lim x→0 sin (2x)

A: Given query is to find the limit of the expression.

Q: lim a sin(1/2),

A: Given,           limx→0xsin1x

Q: tan r Evaluate lim (sin x)" エ→一

A:

Q: lim sin(1/r),

A: We have to find limit

Q: tan 3x Find lim x0 tan 2x

A: We have to evaluate the following limit: limx→0tan3xtan2x

Q: sin(5x) Evaluate lim X→0 2х

A: lim x→0 ( sin5x)/2x   We know that Lim x→0  (sin x) / x = 1   Lim.    5/2 ×    ( Sin 5x ) /5x x→0 ​=…

Q: tan 3x Find limx-0 5x

A: The detailed solution is as follows below:

Q: Evaluate: tan(5r) a) lim 12z b) lim (cot(8) + csc(0))

A:

Q: Evaluate lim sin(a+2x)-2 sin(a+x)+sin a x2

A:

Q: Evaluate lim?→0  (1/sin² x)-((sin x)/(x³))

A: Solution: Consider the given limit function is limx→01sin2x-sinxx3 Using the property of the limit…

Q: [3sin(θ)*cos(θ) - θ]/ [tan(θ) - θ]   lim θ -> 0

A: Let  f (θ) = [3sin(θ)*cos(θ) – θ] / [tan(θ) – θ].Find the limit of the function as θ approaches 0.

Q: lim sin3x / tan2x =? x-->0

A: find the value of

Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

Q: Q3/ lim Evaluate 2 (1+ cosx) ) sec x

A:

Q: sin x 3. Prove that lim :1

A: To prove: limx→0 sin xx=1   Theorem Used: Squeeze theorem: If f(x) ≤ g(x) ≤ h(x) and limx→a…

Q: 2. Evaluate cosxsin2x lim 1 – sinx

A: We need to find limx→π2cos x sin 2x1-sin x Now, put the limit in the function, that is put x=π2 .…

Q: -2x 01. lim,-»o 4 sinx

A:

Q: 2x tan -1 I + COS (b) lim

A:

Q: Evaluate: lim sin(2x) A) 2

A: Given that: limx→5π6sin(2x)

Q: sin z 1 Evaluate lim,

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.