Use the table to find the indicated limit  If f(x)= sin(4x) divided by x, find limit as x approaches 0 f(x).  A)limit=0 b)limit=4 C)limit=does not exist  d)limit=3.5

Q: Find the limits. Are the functions continuous at thepoint being approached? lim x →1 cos-1 (ln √x)

A: We find the limit by substitution

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

A: We have to evaluate the following limit: limit as x tends to zero, [sin (pi x)]/[sin (5 pi x)] using…

Q: Find the limit using lim sinx 1. X-0 x 5) lim sin(sin x) x0 sin x A) -1 B) 1 C) does not exist D) 0

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Q: 4) Use L'Hosp9tal's Rule to find the limits c) lim tanx)) メ→0 d) lim (ex + メ メ→ o

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Q: Evaluate the limit sin x/x as x approaches 0 when x = -1

A: We have to evaluate

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

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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

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Q: Use L 'Hopital's Rule to find the limit:

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

A: The given question is solved below.

Q: use l’Hôpital’s Rule to evaluate the limit

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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: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) lim 8x sec ax…

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Q: X COS X - sin Xx sin

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Q: Use continuity to evaluate the limit. limit as x approaches pi sin(x+sinx)

A: Sine function, sin(x) is continuous for all the real values of x. Hence, sin(x + sinx) should be…

Q: Use​ l'Hôpital's Rule to find the following limit.   Lim  x→0        7x2 /ln (sec x)

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Q: use l'Hôpital's Rule to evaluate the limit. Then evaluate the limit x + 2 sin 5x 1. lim 2. lim 4 0

A: To evaluate the limit limx→-2x+2x2-4using the l' Hopital rule :  From the l' Hopital rule, we say…

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) lim sin (x)

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Q: Solve using L'hospital's rule:   Find the limit of (4x+1)^cot(x) as x approaches 0 from the right…

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Q: Find the limit by rewriting the fractio sin (x2 +y'2) lim 12 12 (х,у) — (0,0) +y

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Q: Use the addition formula for the tangent tan x + tan h tan(x + h) = 1+ tan x tan h to compute (tan…

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Q: limit Sin @2@) ton C3)

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

A: Given that: The limit is limx→0+ 3x+1x - 1sin x .

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: Determine the following limits analytically.

A: Given: The limit expression limx→π21-sin3xcos2x, To find: The value of given expression.

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

A:

Q: Find the limits in Exercise

A: To find the limit  limθ → π6 sin θ - 12θ - π6

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

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Q: 1g. Use L'Hopital's Rule to find the Limit: lim(tantheta)costheta theta->(pi/2)-

A: we have

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

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

A: we have to find the limit of the given function limx→π2-x-π2secx

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

A: We have to find the limit using L' Hospital's rule: limx→0sin x-xx3 We know in L' Hospital's rule we…

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

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Q: Use l'Hospital's Rule to evaluate the limit. cos(x) lim z-* 1- sin(x) Limit:|

A: To find:limx→π2+cosx1-sinx

Q: Determine the limit (if it exists). sinx(1- cosx) lim 2x° x →0

A: Given To Determine limit exists or not

Q: Evaluate the limit using table of values lim sin(1-t) t-1 1-t

A: Identity to be used - limx→0 sinxx = 1Here we see one thing after putting x=0 we get 0 in numerator…

Q: 1d. Use L'Hopital's Rule to find the Limit:       lim   (tantheta - sectheta) theta->(pi/2)-

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

A: To find the limit, limt→0sin5t2t using l' Hopital's rule. Solution: The given limit is ,…

Q: Find the limit using l’Hospital’s rule(4x-sin(4x))/(4x-tan(4x))

A: The limit to be evaluated is as shown on the white board.

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

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

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Q: Evaluate the limit sin 7h lim %3D 7h Enter DNE if the limit does not exist. Limit =

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

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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

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Q: Find the limits

A: Given that limx→∞1x∫0xtan-1tdt . First integrate the interval in the given expression.…

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

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Q: What is the limit as x approaches 0 of 2x/sin(x)

A: