sin? (V6x) – x sin(6x) lim x→0

Q: lim ex+7 x-

A: As per the instruction, we will be answering only the first one. For (15),     limx→ -∞…

Q: lim sin(x)d.x (x2 + e2)2

A:

Q: 2) lim (x – T)tan5

A:

Q: sin(Tæ) lim x → 12 In(x – 11) -

A: The given limit,          limx→12sinπxlnx-11

Q: sin x 3. lim х-30 1 — соSX

A: L Hospital rule

Q: 1+x V1-x sin-1(x) [3] limx-0

A: To evaluate: lim[x→01+x-1-xsin-1(x)] Solution: lim[x→01+x-1-xsin-1(x)] On simplifying further we…

Q: x sin 4x b. lim x-0 1-cos3x

A:

Q: lim x→0 (sin10(x)cos(8x))/x=?

A:

Q: Rx+2sinx Q2.a) lim sin (). sec (in 3+x

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

Q: lim (cos(9x)) (+) x-0+

A:

Q: te dt lim 0 x-0 sin x =?

A:

Q: sin(2x) limy→ 0+ X

A: Given:     limx→0+sin2x2

Q: sin 5x lim, X→0

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

Q: e lim Secx-1 Sinx (-esux) 3}r® २5 ९६० 5x 2 lim ーD6 Sin5x of Sin4x. e lim メーD6 よ + tan 38

A:

Q: lim sin(x)dx (x² + e²)²

A:

Q: 2 sin? x lim х-0 5x(1+сos x)

A: Let L=limx→ 02sin2x5x1+cosxlimx→ac·fx=c·limx→afxL=25limx→ 0sin2xx1+cosxPlug in the value…

Q: 44. lim sin² x x→n/4

A:

Q: sin°(,² – 4) (x+2) tan(x+ 2 limy→-2

A: We have to solve

Q: (b) lim ln(sin x) x→0+

A: b) limx→0+ln(sin x)

Q: 1 lim (1 + sin²x)x

A: We have to solve the given limit: limx→01+sin2 x1x This is 1∞ indeterminate form of limit we know…

Q: e-3sin z (c) lim x² (d) lim sin(rx) lIn (x – 1) x→1+

A: The given limit is: (c) limx→∞e-3sinxx2  To find the value of the limit.

Q: lim a sin(1/2),

A: Given,           limx→0xsin1x

Q: sinx Q1//A- f(x) = cosx x < Required: lim f (x) 4

A: To check the limit of the function at pi/4 , we check it's left hand limit and right hand limit at…

Q: sin(3x – 3) lim x² – 1

A: Given :

Q: x 2 sinx Q1//A- f(x) = x <= COSX Required: lim f(x) 4

A:

Q: Find the limits

A: Find the limit limx→-πx+4cosx+π

Q: lim (sech 2x)csch x x² +0+*

A:

Q: 4x(1 — сos(x)) lim х — sin(x) х>0

A: Because the limit is in 0/0 form. Apply L'hopital's rule.

Q: 2 sin x 1 lim is

A:

Q: 1. lim x²-1 al 2. Tく-X b) lim X-Sin 2x +3 c) lim Vey?-x

A: Given- limx→1x2-1x10-1

Q: 2x tan x+ cos I COS T lim

A:

Q: sin? (V6x) – x sin(6x) lim x→0 x4

A:

Q: 4-V16+h 9. lim x+sin x 12. lim

A: Note: As per bartleby guidelines for more than one questions asked only one question is to be…

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

A:

Q: (x-sin x) A- Find lim,-0 1-cos X/

A:

Q: lim sin3x / tan2x =? x--&gt;0

A: find the value of

Q: lim (4x+cosx) / x ? x---&gt;infinity

A:

Q: T+tan x 4. lim sin X→0 tan x-2 sec x,

A:

Q: lim x→0 (sin3x sin5x/x2) *without use of deritivatives or l'hospital's rule*

A: See the details solution in below

Q: lim -Vx + e* + sin(x)cos(x) 1+ In (x)

A: limx→3-x5+ex1+ln(x)+sin(x)cos(x)=-35+e31+ln(3)+sin(3)cos(3)

Q: 4 lim sin(x) х>0 х 41

A: Given that

Q: 1 lim x-0 (sinx ズ→ X.

A: Evaluate the limit limx→01sin x-1x. Rewrite the expression: limx→01sin x-1x=limx→0x-sin xx sin x…

Q: cos(x)-1 lim-0 sin(x) limx-0 %3D = 1

A: Substituting x=0 in cosx-1xwill result in indeterminate form 00. Use L'Hospital's rule,…

Q: 5 sin(6x) lim x→0 3x

A:

Q: (1- cos.x)? cosx) limx-0 x sin(x2)

A:

Q: 3x+1 lim 1 sin x)

A: Given,         limx→03x+1x-1sinx

Q: 10 sin(4x³) 12x8 lim X→0

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

Q: 2x lim ¤→0 sin x

A: We have to find limit

Q: lim Sin2x X+0 +1 - 1

A: