3x lim tan 7x 2x

Q: 81 5x³ + 2x + 7 lim In x³ -11x2 + 55x + 10 (3)A (8+()+ s)l

A:

Q: х — 4 lim x→4 Vx – 8 – x

A:

Q: tan 2x 9. lim 2x

A: Explanation of the answer is as follows

Q: Find:

A: Given,              limx→34x2

Q: 1. lim 2x

A:

Q: 2x lim x→0 x2 + 4x

A: Given function is; F(x)= 2x/(x^2+4x)         = 2x/((x)(x+4))         = (2)/(x+4)

Q: x+1 lim,-o lxl

A:

Q: 3. lim,10 Vx – 1

A: The limit of any function is defined for any function F(x) on any interval that contains point at…

Q: Find the limits

A: Recall

Q: 3sin(x) lim tan(2x)

A:

Q: tan(23z) lim

A: This problem of limit can be solved by the L' Hospital rule which is explained in step 2.

Q: 1. lim tan 2x.csc 4x

A: Lim     tan2x.csc4x      ?  X-> 0

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

A:

Q: 6x-sin 2x 2x+3sin 4x 15. lim

A: Since you have asked multiple questions in single request. So we will answering only first question.

Q: Find the limit

A:

Q: x +1 limx→∞ х3 — 1

A: Given that : limx→∞x+1x3-1 We know that limx→∞1x=0.

Q: limx→∞ 1 − e^−4x

A:

Q: 3. lim x cot 2x

A: Given,         limx→0xcot2x

Q: et - e- е limr0 2 sin x

A:

Q: lim V8+X -2

A:

Q: lim tan 2x

A: It is given that, limx→0tan2xx   The objective is to evaluate the given limit. So, Apply the…

Q: Evaluate the limit.

A: Given: limx→-∞4x-325x2+4x for finding this limit we take x2 common from denominator and x from…

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

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

Q: x+2 lim sin - x+6x+8 3 2.

A:

Q: x. 200 sin 3x 43. lim x0 5x - 4x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: tan(x) d. limx→ x-5 e. limr→∞ xe-*

A:

Q: Find the limit

A: Given: limx→73xx+2 for evaluating given limit, we put x=7 in given limit

Q: 1. lim 2.lim 25x (cotx)(csc5x) 3x

A: 1. limx→04+x2-4-x23x22. limx→025x3(cotx)(csc5x2)

Q: 1) lim x100+500 ex

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: |x| +x lim Lx-00 x +1

A: Divide both numerator and denominator by x.

Q: .2 lim Vx + 6x + 18 – x X00

A: Given problem is  :

Q: 2x lim

A:

Q: x5 lim x2 – 2sinx + 2x O 20 O 1 O 30 0

A:

Q: 3) lim Lnx .tanx x-0+

A: Use lim sinx/x and L'Hospital law .

Q: x+6 lim x--6t x+ 6 lim x6 x6 Jx 6 lim x6 x6 =

A: If x-> -6^+ then x>-6That means x+6>0So, |x+6|=x+6Answer(a): limit x-> -6^+ |x+6|/(x+6)=…

Q: lim (sgn(x² – 1) + [x + 3]) = ? X→-- 2

A: see below the answer

Q: x°+4 lim 4 x+ 0x"+5 ||

A:

Q: O lim tan(Vx) x² – x x→0+

A:

Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

Q: x2 lim X→0 e5x

A:

Q: 5) lim (cscx X→0 X

A: We use L Hospital's Rule

Q: -2x 01. lim,-»o 4 sinx

A:

Q: 3x lim 2х +1 x→-00

A:

Q: x+3 lim x→2 x² – 4

A: Consider the limit  limx→2x+3x2−4

Q: tan(4x) lim x-→0 tan(5x)

A:

Q: 3) lim Lnx.tanx

A:

Q: Find each limit, if it exists.

A: (a) limx→∞ 3-2x3x3-1=limx→∞ x3x-2x3x2-1x=limx→∞ 3x-23x2-1x=0-2∞-0=0 Thus, limx→∞ 3-2x3x3-1=0.

Q: 1 – sec(2x) 6. lim x→0

A: Topic:- limit calculation

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.