1 + X tanh (x) 1 In 2 - 1 - X

Q: lim_(x → 0) ((x/(1-cosx) - (2/x))

A: Use L'Hospital Rule

Q: Lim x->infinity (cos 1/x2)x^2

A: To evaluate the below limit

Q: x´ tanh x f (x)= tan -1 (x)%3Dtan 2 sin x+ coS X

A: This is a problem of Differential Calculus.

Q: 4. lim 2 sin 0+6

A: limθ->-∞2sinθ+6 We know that the range of sin is from -1 to 1 sin 90 is 1  and sin (270) is -1.…

Q: Prove the identity.

A: We will use

Q: 2 tanh(x) 2) tanh(2x) (H.W) 1+ tanh (x) 2

A:

Q: lim a-1 In(1-x) dx X

A:

Q: (x+x³) (x Tan-'x+ 1) 3 -1 - -is -5 -is

A:

Q: 2 In (1+ lim X -00 3 tan 2 x

A:

Q: 13) lim (n z 2-70 24) lim e- é- ース x - sinx 34) lim (Csx - Cotx)

A: Wherever applicable we used L'Hopital rule

Q: ON 3 sec3(In x) + sec2(In x) tan(In x) 2х n x) tan(In x) n x) dx c³(In x) + sec²(In x)

A: We have to choose the correct option according to the given information

Q: Prove the identity. 1+ tanh(x) = e2x 1- tanh(x) 1 + cosh(x) 1+ tanh(x) 1- tanh(x) 1 cosh(x) cosh(x)…

A:

Q: lim (3x + 1) sin(2x) 4x2

A:

Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

A:

Q: 1) Find All solutions For y = 3.0 to the Transcendental equation: sinx-ln z = X - Y + gamma x This…

A: note : we will refer the term "gamma" at the end of the  equation as the symbolical constant : γ =…

Q: sin(3 – x) lim с2 — 5х + 6 x→2 x2 – 5x + 6

A:

Q: 1) lim (tan x) cos x X-2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: ..LH.S.-R.H.S. - HW/ Prove that: (1) 1-tanh x=sech'x

A:

Q: 9. lim(1+ sin²x)x X-0

A:

Q: 1+tanh² x 1-tanh² x

A: Hyperbolic function

Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

A:

Q: 2. 1+tanh² x 1 -tanh² x

A: To simplify 1+tanh2x1-tanh2x, use trigonometric identity, 1-tanh2x=sech2x. Substitute tanh2x with…

Q: sin(3 – x) lim x→1 x2 – 5x + 6

A: Explained below

Q: reduction formula to evaluate the integral. x e 4Xdx

A:

Q: limit x to infinity (1+sin(3/x))^x

A:

Q: If f(x) = tanh-1 then f'(x) =

A:

Q: Lim 1 - - x + n x х — 1 x' - 3x + 2

A:

Q: Che number ofunits in Z31[x] is

A:

Q: tan(x) dx cos4(x) tan'(x) A [7tan²(x) +9] + C 36 1 ℗tan'(x) + tan³(x) + C C D sin²(x)sec³(x)…

A:

Q: sin 2x J-1 x* +x* – x² +2

A: Here we have to find the integration: ∫−11sin2xx8+x4−x2+2dx

Q: lim 4y° + Jy18 – 1 -00

A: Given that: limy→-∞4y9+y18-1

Q: 19 sin(2 x) lim X- 0 9 tan(18 x) lim X- 0

A:

Q: prove that cosh^2x-sinh^2x=1

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

Q: - Find All solutions. For y = 3.0 to the Transcendental equation. sinx-ln z = X - Y + gamma x & This…

A: note : the last term in the given transcendental equation is "gamma" which is used to represent the…

Q: 2. tanh x (12) tanh(2x) = %3D 1+tanh x

A: Answer

Q: Proove: Yn- n-1 x

A: Given That : Let us assume that  y=xnlog(x) Prove that : yn=n!x using Leibnitz  theorem

Q: sin x lim In(x* + 1) x + o+ O 4 O +00

A: To evaluate: limx→0+sin xln (x4+1) The form of the limit is 00 form.

Q: sin 2x + 2 arctan (k) lim x→0 In (1+ 3x + sin 2

A: Introduction: So, according to L'Hospital's Rule, if we have an indeterminate form 00 or ∞∞, all we…

Q: sinh- x = In 2.

A:

Q: sin(3) (x – 6) – 3sin(x – 6) lim x-6 (x – 6)2 + 2(x – 6) + 3 – 3e*-6

A: We have to find the limit.

Q: 2 sin(-2 x) lim ثم أختر الاجا أحسب الغاية التالية )0.3 sin (x ( 5 4 0.5 O O الغاية غير موجودة 1 O…

A:

Q: (sin(x), x 4 x, k(x) = f(x) = -x2 + 4x – 2, х — 6,

A: Consider the given function as fx=sinx     x<0x         0<x<2-x2+4x-2…

Q: lim (2,1) (0,0) (1 + (x² + y²) In(2² + y²))

A:

Q: separable 9-X(2lnX+1) Sin y+ ycosy

A:

Q: limr→(1 − )tan =N x

A: Concept: Limit of a function: Think about the f function (x). X must have values ​​close to the…

Q: tan x lim tan 3.x X → T/2

A:

Q: 1+ tanh x e 2x 1- tanh x

A: Prove the following Use the identities

Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.