Limit evaluation

Welcome to the "Limit Evaluation" category on Questions LLC! If you're looking to deepen your understanding of limit evaluation or seeking assistance in solving limit problems, you've come to the right place. This category is dedicated to helping you navigate the intricacies of evaluating limits, exploring different techniques, and unraveling the fascinating world of mathematical limits. Whether you are a student studying calculus or someone curious about this mathematical concept, our community of experts and enthusiasts is here to provide guidance, explanations, and answers to your burning questions. Dive in, explore, and expand your knowledge of limit evaluation with us!

Questions (29)

How do we evaluate limit of,lim x-> 0 [ln(x+1)/( (2^x) - 1)] I tried using the substitution x+1 = e^k , when x tends to 0 so
1. 2 answers
2. asked by Ashley
3. 700 views
Evaluate the limit if it exists, otherwise, write ∞,-∞ or DNE as appropriate. (you may not use the L'Hospital Rule)lim
1. 2 answers
2. asked by Clay
3. 583 views
Use series to evaluate the limit.limit as x approach 0 [1-cos(5x)]/[1+5x-e^(5x)]
1. 3 answers
2. asked by monica
3. 2,651 views
Show, using the properties of limits, that if lim x-->5 f(x)=3 then lim x---->5 x^2-4/f(x)=7
1. 3 answers
2. asked by Morris
3. 1,428 views
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)lim t^2-64/2t^2+17t+8 t→−8 Please show steps!
1. 3 answers
2. asked by Anya
3. 1,568 views
Use a graph to estimate:Lim x-> 0 of sin(8x)/x when x is measured in degrees.
1. 2 answers
2. asked by Jenifer
3. 755 views
Find the following limits analytically if they exist.Enter INF for positive infinity and -INF for negative infinity. If a limit
1. 1 answer
2. asked by joel
3. 292 views
lim (cubic root (7+x^2-8x^3)/(x^3-x+pi))x--> +inf I don't know how to take the limit when there is a cubic root around . Between
1. 4 answers
2. asked by AMELIA
3. 353 views
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.lim x→0
1. 1 answer
2. asked by TayB
3. 942 views
show all of the algebraic steps in finding lim x->0 (sin2x)/(2x-tanx)I know the answer is 2 but I need the steps thank you!
1. 5 answers
2. asked by Uygur
3. 556 views
Evaluate the limit, if it exists.lim x->0 ((9-x)-(9/(x^2-x)))
1. 3 answers
2. asked anonymously
3. 40 views
Evaluate the limit, if it exists.lim x->16 (4-sqrt(x))/(16x-x^2)
1. 3 answers
2. asked anonymously
3. 50 views
6. ) let f(x)=x^2,evalute f(h-2)-f(-2)/hH->0 7.) evalute lim-2x^2+x/x x->0
1. 1 answer
2. asked by mecie
3. 354 views
g(x)={x+6, for x<-2,-1/2x+1, for x> or equal to -2, find the limit: lim g(x)= lim g(x)= x-->-2^- x-->-2^+ lim g(x)= lim g(x)=
1. 1 answer
2. asked by samir
3. 442 views
Posted by COFFEE on Sunday, July 29, 2007 at 6:32pm.infinity of the summation n=1: (e^n)/(n!) [using the ratio test] my work so
1. 1 answer
2. asked by COFFEE
3. 994 views
lim (2^x - 3^-x)/2^x + 3^-xx-> infinity Thanks. Do you mean (2^x - 3^-x)/(2^x + 3^-x) or [(2^x - 3^-x)/2^x] + 3^-x ? in other
1. 1 answer
2. asked by Rom
3. 300 views
1. Use a graph to estimate the limit. Use radians unless degrees are indicated by θ°. (Round your answer to four decimal
1. 3 answers
2. asked by jen
3. 1,457 views
uu) lim ln(1-x) as x->1-yy) lim (√(6-x)-2)/(√(3-x)-1) as x-> 2 zz) lim (1-(1/2)arctanx) as x->-∞ bbb) lim ln|1-x| as x->1
1. 3 answers
2. asked by Emily
3. 809 views
Evaluate the limit as x approaches 0 of [tan(x+Δx)-tan(x)] /Δx:sec^ 2 (x) cot (x) sec (x) does not exist
1. 2 answers
2. asked by ashley
3. 671 views
Find the following limit where f(x) = 4x2 − 3x.limit delta x --> f(x + delta x)- f(x)/delta x can someone please help me
1. 2 answers
2. asked by kajal
3. 639 views
use L'Hopital's Rule to evaluate lim (4x(cos 8x-1))/(sin 8x - 8x) as x->0
1. 2 answers
2. asked by danial
3. 644 views
lim_(x->59)(sqrt(x+5)-8)/(x-59)??
1. 2 answers
2. asked by Anonymous
3. 583 views
For each value of h, evaluate the following function. Round your answer to four decimal places. lim h->0 (4+h)^(3)-64/hA) h=0.01
1. 3 answers
2. asked by George
3. 557 views
Solve lim sin2x using any method.×>0 ----- 5x I am unaware of what my first step is supposed to be, I know that if I plug in 0
1. 2 answers
2. asked by Leslie
3. 507 views
I have a definition lim theta approaching 0 sin theta/theta = 1so show if the limit x approaching 0 sin2x/5=2/5
1. 3 answers
2. asked by sarah
3. 503 views
Find limit x->x/2 tan^ sqroot (2sin^x+3sinx+4-sin^x+6sinx+2)
1. 2 answers
2. asked by Nuhu
3. 472 views
This is a question related to L'hopital's rule.lim x -> -infinity of ((x)(e^x)) This thing is weird because I apply l'hopital's
1. 1 answer
2. asked by Joshua
3. 462 views
Using L'Hopital's Rule, find the limit:lim x->0+ (as x approaches 0 from the right) of sinx/x^(1/3)
1. 1 answer
2. asked by Justin
3. 452 views
Use algebra to evaluate the limit lim h->0((2−h)^2−8)/h
1. 5 answers
2. asked by Cecille
3. 441 views