After direct substitution the limit lim (tanx)c0sX gives cosx x-() 2 Select one: O 1* 70 00 O None

Q: Evaluate the limit. (If an answer does not exist, enter DNE.) sin(8x) – 8x cos(8x) 8х — sin(8x) -…

A: Since the given limit is in the indeterminate form of type 0/0 , therefore we can apply L'Hopital's…

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: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given: To Find: Concept: 1. 2.

Q: Algebraically find lim (xln (1+)) where c E R (i.e., c is some real number). X→∞ Numerically…

A:

Q: Find the limit. Enter the exact answer. lim sec 3x cos 7x = x

A: I am attaching image so that you understand each and every step.

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

A: Part(a) Given limit

Q: What is the limit of limx→ sin x? 1/2 1 -1 10

A: Given

Q: After direct substitution the limit lim (sinx)anx gives Select one: O 01 O 00 O 10 O None 00

A:

Q: After direct substitution the limit lim (1+x²)secnx gives Select one: O 10 None 00

A: Given: limx→∞1+x2sechx

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(2x) lim x→0 tan(7x)

A:

Q: Construct a table to find the indicated limit.

A: let f(x)= limx→0 sinx2x

Q: Find the limit. sin? 3t lim

A: Given: limt→0 sin2 3tt2=00 (Indeterminate form)By applying the L-Hopitals rule we find the limit of…

Q: After direct substitution the limit lim (cschx) gives X+00 Select one: 0° O None

A: We have to find after direct substitution of limit

Q: 2) Find the following limits if they exist; otherwise report that they do not exist and explain why.…

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: find the limit or explain why it does not exist

A: limx→0tan(2x)tan(πx)

Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

A:

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or-co, enter…

A:

Q: Use the identity sin 30 = 3 sin 0 – 4 sin' 0 to evaluate the limit, sin 30 – 3 sin e lim - 03

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate cos(x) – 1 + lim 3x4

A:

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or -0o, enter…

A:

Q: After direct substitution the limit lim (cosx)cscx gives x-0+ Select one: O None O 01 O 10 O 00 O 0*

A:

Q: find the limit or explain why it does not exist. lim cos? (x – tan x)

A: Definition of limits helps to find the limit of the function. A value is said to be the limit of…

Q: Find the limit. sin 7x lim 8x sin 7x lim (Simplify your answer.) 8x

A:

Q: For each limit, use direct substitution. Then identify the form of the limit as either indeterminate…

A:

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: What is the limit of the following lim x goes to 0 of x*csc(x)*sec(x)?  Please provide step

A: Given limx→0 x cosec x .sec x⇒limx→0 x.1sin x.1cos x=limx→0 2x 1sin 2x

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or -co, enter…

A:

Q: Evaluate the following limit by direct substitution. Enter the exact answer. lim (2x – 1) = Number…

A: Plug in x=3 in the given expression.

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) sin(5h) lim h→0 h

A:

Q: Find the limit. (If you need to use co or -o, enter INFINITY or -INFINITY, respectively.) r+2 lim…

A: We have to find limit

Q: lim tan (2x)

A:

Q: plot the function and use the graph to estimate the value of the limit.

A: Given: y=limx→02x-cosxx we know that graph of given function can be drawn as below

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Law(s)

A: The given limit is: limx→0cos4x5+2x3 To evaluate the limit, apply the limit property…

Q: Find the limit. lim sin x x-11m/6 Need Help? Read It

A:

Q: Evaluate the limit, using L'Höpital's rule if necessary. (If you need to use co or -co, enter…

A: We are given that limx→∞e4x-98x

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: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or -0o, enter…

A:

Q: (1point Use continuity to evaluate lim sin(-8x + sin 5x) Enter I for oo, -I for -co, and DNE if the…

A:

Q: Evaluate the limit. If needed, enter 'oo' for o and '- oo' for – o. - lim x → 47+ Sin x

A: Given: limx→4π+5sinx

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

A:

Q: find the limit or explain why it does not exist

A: Limit calculator:      x→πlimcos2(x-tan x)We need to check the value of tan x at x=π,i.e. tan π=0

Q: Use a table to find the limit as x approaches 0.                    cosx-1/x

A:

Q: Construct a table to find the indicated shown limit;

A: Given: limx→∞sinx2x

Q: Evaluate the limit, using L'Hôpital's rule if necessary. (If you need to use co or -co, enter…

A: We can solve the problem by applying L'hospital's formula.

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.