. .. . ... ... . Evaluate the limit, using L'Hõpital's Rule if necessary. sin 8x lim sin 5x

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. sin 7x lim X-0 tan 6x

A:

Q: Find the limit, if it exists.

A:

Q: Evaluate the limit.

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: Based on your knowledge of the behavior of the numerator and denominator, predict the value of the…

A: The solution is :

Q: Find the limit. lim sin(9x) 5x

A: We are solving the first question and for the next question post the question again and also mnetion…

Q: Find the limit, if it exists. sin(8x) lim

A:

Q: Find the limit, if it exists.

A:

Q: Based on your knowledge of the behavior of the numerator and denominator, predict the value of the…

A: Find the limit

Q: Use l'Hôpital's Rule to find the following limit. sin (x) – x lim X→0 2x3

A:

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

A:

Q: Construct a table to find the indicated limit.

A: Limit x tends to 2 means the value of the variable approaches towards 0 from both sides that is from…

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. sin 5x lim x-0 sin 8x Step 1

A: The given function is  f(x) = (sin5x) /(sin8x) For applying the L Hospital law we have to…

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

A: Given, limx→0sin 5xtan 9x

Q: Evaluate the limit.

A: To find: limx→π6xsin3x

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

A:

Q: Evaluate the limit: lim sin(2x) cos(7x)

A: To evaluate: limx→0sin2xcos7xx

Q: Evaluate the limit lim sin-(÷).

A:

Q: Evaluate the limit sin 2x lim 7x

A: limx→0 sinxx = 1

Q: Evaluate the limit sin 3x lim 5x

A:

Q: Find the limit. sin(4x) lim 5x

A: Solution: The objective is to find the given limit

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

A: Given function is limx→0sin3xsin5x This is in the form 00, so we apply the L'Hospital rule

Q: Evaluate the limit sin 8x lim I0 sin 3x

A:

Q: Evaluate the limit using L'Hospital's rule if necessary: sin(4x) lim x→0 sin(8x)

A: Limit is  1/2 Explanation is given below

Q: Evaluate the limit: lim sin(7x) cos(4x)

A:

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

A: Given: limx→0sin6x4x

Q: Find the limit. lim sin(5x) 6x

A: Given: limx→0sin5x6x

Q: Can we use L'Hospital's rule to find the following limit? 1- tan(x) lim ! cos((2 x) X-

A:

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

A:

Q: Find the limit, if it exists. sin(8x) lim х

A: The given limit to calculate is

Q: find the limit. lim x→∞ e-x (sin x)

A:

Q: Find the limit, if it exists. sin(4x) x Ilm

A: To find the following limit, if it exists.limx→∞ sin 4xx

Q: Use direct substitution to find lim tan 0. O v3 O 1 O limit does not exist

A:

Q: Find the limit lim (e-* cosx) COSX

A: Range of cosx is [-11]

Q: Estimate the limit numerically or state that the limit doES not exist (DNE): sin(9r) lim

A: Evaluate: limx→0 sin9xx

Q: Use​ l'Hôpital's rule to find the limit of limθ→0     7 cosθ−7/2θ.

A: Given limit is in the 0/0 form so we can use the L'Hôpital's rule

Q: Evaluate the limit using L'Hospital's rule if necessary: sin(2x) lim x→0 tan(14x)

A:

Q: Find the limit. sin(x°) lim

A: to find limx→0sinx9x

Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. sin 7x lim x0 tan 2x

A:

Q: Evaluate the limit using L'Hospital's rule et – 1 lim x0 sin(4x)

A: we have given limit, we have to find it's value using L' Hospital rule. lim x→0ex -1sin 4x

Q: Evaluate the limit: OUIS b) limx¬0° sin³x sin x-tan x

A: Given function is: b). limx→0sin3xsinx-tanx Simplifying it: Applying L'Hopital Rule:…

Q: Find the one-sided limit (if it exists).

A: Given, limx→0+sin(x)+1x

Q: Evaluate the limit. sin(x + h) – sin x lim

A: Applying the limit: Since the limit is in 0/0 form, L'Hospital rule can be applied.

Q: Evaluate the limit sin 9x lim I0 sin 3x

A:

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. lim sin 9x x→0 tan 2x

A:

Q: Find the limit. lim tan(9t) t→0 sin(3t)

A: before we solve the following question we need to know the limit of the trigonometry function which…

Q: Use L’Hôpital’s Rule to evaluate the limit.

A: We have to find the limit using L' Hospital's rule: limx→0sin xsin 5x Since limit is in 00…

Q: Use l'Hôpital's Rule to find the following limit. 5 sin (x) - 5x lim 2x3

A:

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. sin 6x lim X-0 sin 5x

A:

Q: Evaluate the limit. sin (x) sec (x) lim 2х

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.