5. [Essay] Find lim tanx-x x² sinx sign x-0

Q: / Find Lim X. tan' 2 X X-100

A:

Q: 2-limx-o(x. secx.cscx)

A: To find the limit of the following.                                     limx→0 (x sec x csc x)

Q: e-(1+x)+/x Evaluate lim tanr

A:

Q: Evaluate lim x-0 sin x

A: The given limit is: Since, when

Q: x łan 5x sin? (2x) lim

A:

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

A:

Q: lim 2x

A: Given: limx→∞2xx+1-1

Q: 1 2. Lim x0x 1 sin x

A: Given:      limx→0+1x-1sinx simplifying we get     =limx→0+sinx-xxsinx Apply L'Hospital's Rule:…

Q: lim xS0  .  ...........tan 3x / sin 8x

A: limx→0tan3xsin8x

Q: Lm x+h -区 メ+h -x , h#o.

A:

Q: x + sin x 5. lim x 2x + 5

A: We have to solve:      limx→∞x+sin x2x+5

Q: Evalate lim sintsx)-tan ($x)

A:

Q: Calculate lim (sin x)tan x 2

A: Applying l hospital rule and differentiate both numerator and denominator we have

Q: lim cotx As x approaches pi from the left side

A:

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: tan3x 6. lim X-0 tan4x

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

Q: Find lim tanx-x x2 sinx X

A:

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

A:

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

A:

Q: lim                ex - x - 1 / x2 x => 0

A: Given:

Q: 1f. lim (tanx)x x->0+

A: Given,

Q: (1 1 Calculate lim X-+ x sinx

A: Find the limit

Q: 2tanx-sin2x 6. lim X0 x3

A:

Q: 1. lim x-2 (2x + 3)

A: 1. To find the given limit limx→ 22x+3

Q: Evaluate J12dy

A: Solution )∫12dy We know that by the integral formula ∫a.dy = a∫dy And ∫dy = y So ∫12dy = 12∫dy…

Q: Find Lim 5e*-2x x-0 A. 5e C. 5 D. 0 B.

A: Solution