71. lim Sin 7x X0 sin Sx

Q: For the limit, sin(x² - y²) x² - y² if we approach along y-axis, we will get 0. Select one: O True O…

A: We know :- If we approach along y axis the x=0

Q: Use l’Hospital’s rule where applicable to find the limit.

A: L'Hospital rule, if we have an intermediate form 00 or ∞∞           all…

Q: After direct substitution the limit lim (1+tanhx)schx gives +0+ Select one: O oo0 O None O 1°

A: Explanation of the answer is as follows

Q: Which of the following is equal to the limit limx→0 sin^2 2x/xtanx A.  0  B.  4  C.  2  D.  8

A: We have to find the limit Use l'hopitals rule to obtain the limit. Keep on differentiating the…

Q: Evaluate the limit using L'Hospital's rule if necessary. lim sin(z) Answer

A: we have to evaluate the following limit . I have explained in details please see the explanation and…

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 4. Lim Arctanx, x-0\x

A:

Q: Tind the Limit, Use l'Hos prtals Rule lim X-S00

A: The given expression of limit, limx→∞xe-x/2=limx→∞xex/2=limx→∞xex/2

Q: Evaluate the limit, using L’Hôpital’s Rule if necessary.

A: Given: limx→∞sin xx-π

Q: Use L'Hospital to determine the following limit. Use exact values. lim (1 + sin 62) = z→0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Зx-х+1 lim x→+∞ /9x5-x³+3-x² (х-2)tan? (3x-21) lim x→7+ sin²(x²-9x+14)

A:

Q: sec x lim X0 n x

A: Here we have to find the limit.

Q: Evaluate the following limits. tan x lim (sin x

A:

Q: Use l’Hôpital’s rule to find the limits

A: Given: limt→0sint2t To determine:  The value of given limit using L' Hospital's rule. Concept used:…

Q: Find the limit by interpreting the expression as an appropriate lerivative. NOTE: Enter the exact…

A: To find:limh→05h-1h

Q: (a) By using L’Hôpital's rule, evaluate each of the following limits. sin x lim x-0 2x (i) (ii) lim…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: sin? x 10. lim x+0

A: We have to find the value of given limit: limx→0sin2 xx We know the theorem of limit, limx→0sin…

Q: Find the limits. If limit does not exist, state it. In each part show your calcula;ons and circle…

A: Given:

Q: use a CAS to perform the following steps:a. Plot the function near the point c being approached.b.…

A: Given: y=2x23-3cosx graph of given function can be drawn as below

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: Solution :let,y=limx→0+cosecxsinxtake log both…

Q: Evaluate the following limits and and explain your reasoning. lim (0,n] (1 – -)e#dx n

A: Given: limn→∞ ∫0, n1-xn  ex2  dx We have to evaluate the given limits.

Q: Use l’Hôpital’s Rule to find the limits

A: we have to use the L' Hospital's rule to find the limit: limx→0cscx-cotx as we know that…

Q: Find the limits. Are the functions continuous at the point being approached?

A: We will find the limit by substitution

Q: Evaluate the limit using L'Hôpital's rule, if applicable: lim (x rarr 0)\ (e^(x)-1)/(sin(11 x))`…

A: Question is solved.

Q: Evaluate: lim sin(3x)cot(2x) O a. 2 O b. 3 2 O c. 3 O d. 2 3

A: limx→0 sin3xcot(2x) limx→0sin(3x)cos(2x)/sin2x so now it form 0/0 so we use la'hospital rule…

Q: Aetermine whather im sin y exicts If it exists, find the limit ?

A:

Q: Find the limit as a number, o, or -o. Otherwise enter DNE. lim n? sin?(4) = (No Response)

A:

Q: Use l’Hôpital’s Rule to find the limits

A: If on substituting , one will get 00or ∞∞ form, one will use L-Hospital's rule, where one need to…

Q: Which of the following limits can be evaluated without l’Hôpital’s Rule? Evaluate each limit. sin x…

A: Compute the limit limx→0 sin xx3+2x+1 as follows. limx→0 sin xx3+2x+1=sin 00+0+1=01=0

Q: Find the limits sin 2x lim x00

A: The graph of sin 2x is obtained by horizontally compressing the graph of sin x but the range of the…

Q: Use l’Hôpital’s Rule to find the limits

A: We have to find the limits by using L 'Hospital's rule: limx→0sin mxsin nx In L' Hospital's rule we…

Q: Evaluate the following limits, where c and k are constants.

A:

Q: Choose the limit to which L'Hôpital's Rule may be applied. [A] lim, [B] lim- [C] lim sin 40 4 cos x…

A:

Q: Find the limit. sin(9x) lim 2x

A: We have to find out the limit, Because given limit is in 0/0 form,

Q: 1. a) lim cot x n2x b) lim(tan.

A:

Q: tim Q2 Find the limits liw h +h cosh 1- Sinh.cosh 2-lim 2x-8

A: Limit value of the rational function

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or -0o, enter…

A:

Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: E valuate the following limits. If you use l'Hospital's Rule, be sure to indicate when you are using…

A: Given:

Q: Find the limit as x.approaches 7 from the right. refer to the graph below. * O DNE

A: Limit as x approaches to 7 from right from figure

Q: Evaluate the limit using L'Hôpital's rule, if applicable: lim_(x rarr 0 ) \ (e^(x)-1)/(sin(12 x))…

A: Let's find.

Q: Do as indicated. 2. Use the Squeeze Theorem lim sin (sinh x)csch x. x-18 to evaluate

A: Given problem:-

Q: Q2. Do as required 3. Evaluate: lim (-) X0 sinx

A:

Q: lim (sec (h) – tan (h)) is equal to: h -1 O 1 None of above 8. 8

A:

Q: Use L'Hospital to determine the following limit. Use exact values. lim (1+ sin 6z) =

A: L'Hospital's rule is a useful method to find the limits of indeterminate form. There are two…

Q: 2. lim (sin x) tan z

A:

Q: Evaluate the following limits and and explain your reasoning. a) lim е п dx n00 [0,1]

A: Using the following property of Limits of Integrals- limn→∞∫abf(x) dx = ∫ablimx→∞f(x) dxIf f is a…

Q: Use L'Hospital to determine the following limit. Use exact values. lim (1+ sin 4x)

A:

Q: ´ 1/x? sin x lim x>0

A:

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.