21 26. lim tan/

Q: Use l'Hopital's Rule to evaluate the following.

A:

Q: 60. lim xIn 2)/(1 + In x) X→ 00 62. lim (e* + x)'/x X→ 00

A: We will find the limits.

Q: tan(23z) lim

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

Q: 10) lim

A:

Q: whatin Lim (19x) tan(3x メ→0 2.

A: The limit is limx→0+9x tan3x+π2. Factor out the constant term.  limx→ 0+9xtan3x+π2=9·limx→…

Q: X – 4 | lim х-4 х2 — х — 12 O 4/7 O undefined 1/7

A:

Q: 2 In (1+ lim X -00 3 tan 2 x

A:

Q: Compute sin ax lim z0 sin bæ

A: L’Hospital’s Rule : Suppose limx→af(x)g(x) = 00  or  limx→af(x)g(x) = ±∞±∞ where a can be any real…

Q: 5. Explain the extreme value theorem. luouo Ro in Th

A: Extreme value theorm = In calculus , the extreme value theorem states that if a real-valued function…

Q: 1+1 lim 11m +51

A:

Q: 2. tanx カイ Lim (3, 주 so +1 wi7

A: Explanation of the solution is given below...

Q: 9. Compute lim x tan (). x→0

A:

Q: 35. lim 20

A: limx→2 x20-x2 = ?Now, fx=x20-x2 is polynomial and we know that polynomials are continous everywhere…

Q: c) Without using L'Hopital's rule find х3+7x2-14х+6 lim х>1 х5—х4+8х3-8х2+16х-16

A:

Q: Find the limit.

A: Given the limit: limx→0 4+x-2x

Q: 23) lim x In x X-0*

A:

Q: 9) lim

A:

Q: lim (1+e9)°

A:

Q: 37. lim (In 2x – In(x + 1)) X00

A:

Q: tan t sec 2t 2- lim 3t

A: Using rules of limits to find the answer.

Q: 50. lim I +1

A: The given expression is limx→∞xx+1x. The logarithm and exponential function are inverses of each…

Q: Compute the indicated limits. sin(2x) lim 3x

A:

Q: 25. - lim (tan x)*om

A:

Q: Evaluate * lim (2 – x)tan | x→1 O Option 1 O Option 2

A:

Q: Use L'Hopitals's rule to find lim (2 – x)tan(ra/2). (Tx x→1

A: We use elogu=u and l- hospital rules in this question to find limit.

Q: lim (In(4x + 1) – In(5x + 1)) =

A: To find limit of the given problem

Q: 00 *tan(1/r)=? O a. 2 O b. 00 O c. Limit does not exists

A: You know:

Q: nd lim delta -> -4, tan(delta + 4) /5delta+20

A:

Q: tan(31x) lim x → 0 5x

A:

Q: Compute lim 0 tan-(5x) 5 25 undefined 1 25

A:

Q: 30 lim e tan x X(7/2)+

A:

Q: Use a table to evaluate lim tan z O Does not exist 8.

A:

Q: 28) lim x- tan"x メーマo 29) lim din x- X + x³ x3

A:

Q: Let 51 =1 and 25n+1=5,+ lim(s,) = Then %3D %3D 11s, Select one:

A:

Q: 21n in lim

A:

Q: 5. Use L'Hopital's rule to evaluate ex + 2 limx0 ex +

A: follow the next step

Q: 4] Show that lim sin( does not exist.

A:

Q: 2. lim

A:

Q: 43. lim 21/" = 1 n00

A: Given limits limn→∞21n=1 Taking L.H.S of the given limit limn→∞21n Apply the limit n=∞…

Q: 14) lim

A:

Q: Enter a whole or decimal number, or DNE for does not exist or undefined. |0x| lim (5+10=¹). [ - -0+z

A: Topic = Limits

Q: 73. lim In(cos x)

A:

Q: 75. lim [In(1 + x²) – In(1 + x)]

A: Given: limx→∞ln1+x2-ln1+x

Q: 10. lim 23

A: Given: The limit expression limx→01-ex3x3, To find: The value of given limit.

Q: Find the limit.

A: