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

Q: Q2) find the value of each limit sint 1) lim(- 1+cost +tcost C+cost x+xcosx 2) lim 0 sinxcosx

A: The limits of given functions are given as follows :

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: lim (sec (w) – tan (w)) is equal to: w -1 1 00 None of above

A: L'Hospital Rule: Let us consider the limit of the function limx→af(x)g(x) If the function f(x)g(x)is…

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: calculate the following limits (a) lim x->0 (e^x-1)/(sinx) (b) lim x->0^+ xlnx

A: Part(a) Given limit

Q: Use L’H0 spital’s Rule where appropriate.

A:

Q: Q1:B/ Use l'Hôpital's rule to find the limits lim x-1 In x, x-1

A:

Q: Answer the following. Students are not allowed to use L'Hôpital's Rules. Find lim 1-2 v3-1-1

A: Here we have  to find limit.

Q: Suppose if f(r) s g(x) < h(x) for all z€ (0, 2), what is lim h(x)? Select the correct response OA-1…

A: Solution: The objective is to determine the correct option for the given questions

Q: Decide if you can evaluate the following function using substitution. If so, state why and find the…

A: Given,  limx→π2sin x+x2

Q: Determine the following limits: 2x +3 [a] lim b lim 0 4x-4 sin x

A:

Q: Evaluate the following limits. 1. lim sin x

A: Given: The function is limx→π2sinx The objective is to evaluate the limits.

Q: Suppose we know that y x ER, h(x) ç f(x)Eglx) where Determine lim flxl. X -)0 h(x)= 31-4x2 and 9(x)…

A:

Q: valuate the following using basic limit theorems. V2z + V3 lim 3 422 – 9 -

A:

Q: The following limit 9a? – 16y? - lim (x,y)→(0,0) 4у + За

A:

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

A: We have to use L' Hopital' s Rule to evaluate the limit limx→∞1+4xx

Q: Which of the following is/are signified by lim f(x) = 00? %3D

A:

Q: Q5/ Answer the following: (a) Compute the following limits: x3+x²+x+1 x²-1 sec-1(V2+h)-sec-1V2 (i)…

A: Part i,Given,          limx→1x3+x2+x+1x2-1

Q: 3. Use L'H rule to find lim (1– 2x)/=

A: From the given problem: limx→01-2x1x Let, y=limx→01-2x1x Now taking log on both sides.…

Q: 2.a?y Using paths, show that the following limit does not exist. lim (x,y)→(0,0) 3x4 + y?

A: According to the given information, it is required to show that limit does not exist.

Q: Find the values of the following limits : 4x 3-limx-0 tan5x

A: According to the L'hopiatl rule: If the limit is of the indeterminate form 00  or  ∞∞ then…

Q: Q8 Find the limit. Use l'Hospital's Rule where appropriate a) lim sin 4x x→0 tan 5x x+x? b) lim x→0…

A:

Q: Find the following limits. Do not apply L'Hospital's rule. ペ-4 lim +2 |x– 2| (i) (ii) sin (3t) lim

A:

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: Determine the 2.x2 – 4x + 6 dx using the definition. (hint: lim Rn)

A: Given: ∫12 2x2-4x+6 dx  To find: Value of the limit.

Q: Use L’H0 spital’s Rule where appropriate

A:

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

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

Q: Evaluate: limt o sin 3t t5 (t-1)² using L'Hôpital's

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (b) limx tan

A:

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

A:

Q: 3x 3. lim х-0 sinx

A:

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: For the lim z (6x +) = 4, find the largest & that "works" for e = 0.0032. (Use decimal notation.…

A: Given,                    We have to find del.

Q: Make a table of function evaluations near the limit and use this to estimate the value of the limi…

A: Given: f(x)=limx→0xsin)(x)

Q: O Determine the following limits O limx-0 3 1+y3x+1 sin 2x limx-0 10x"+x*+31 limx-too

A: We are allowed only 3 subparts of a question

Q: Find the following limit. x2 + 15 lim (х, у) — (0, 20) arctan + (y – 20)2,

A: We will find the limit as following.

Q: Q2) find the value of each limit 1) lim(6x. sinx sinzx

A:

Q: - Find the Lim;t: O Lim Sinx メー0 12ナメ3 E. 4) Lm sint2 sino lim 下-日

A:

Q: Approximate the value of et – 1 lim x→0 2x2 + X by substituting in 3 different values of x that get…

A:

Q: (c) lim r³/x² 3/22

A: We have to find the limit value by using L'Hospital rule.

Q: Q1. Using Lopital Rule ,Find :lim -cos

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

A:

Q: Does L'Hôpital's Rule apply to lim f(x)g(x) if f(x) and g(x) both approach oo as x → a?

A: L' Hopital's Rule is used in the following cases,

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

A:

Q: 1-sin x 18. lim TL X- 2.

A: