(a) lim tan coth an [ coth()] -0+I

Q: tan(23z) lim

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

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: lim cot(z) %3D - 10 -1 0 3 0

A:

Q: find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

A: We have to find the following limit      alimx→1x4-1x2-1       blimx→010x-3sinxx

Q: 2) lim (+5)a00 (-2a+1)50

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (Inx)? lim

A:

Q: tan(14x) lim x→0 5x |

A:

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: 3 lim (1+ 4 x2

A: Given thatlimt→∞1+3x+4x2x. The objective of the problem is to solve the given limit.

Q: lim (1+ tan 3x)*

A:

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: (1 + +)" =- 65. lim

A: To show: limn→∞1+1nn=e

Q: -1 Evaluate lim 3x А. 2/3 C. 1/3 В.-2 D. -3

A:

Q: 4nx tan(- an %3D 7 + 16n lim an

A:

Q: 1 lim 2 -1 x* -1,

A:

Q: 4 Find Lim x0 2ex-12 A.- В. 51 C. -0.4 D. 0.5 2/7

A:

Q: sin2x Q30.a) Find lim X-0 x2

A:

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: lim cos +) + ;

A: To evaluate the limit: limx→πcosx2+π4+12 Solution: Evaluating the given limit.…

Q: x2" lim; 2" 02

A: When limit is of the form 00or ∞∞ (Indeterminate form ) then L Hospital's rule is applied , In L…

Q: Find Lim 5e*-2x x-0 A. 5e C. 5 D. 0 B.

A: Solution