Limit of a function

Welcome to the "Limit of a function" category on Questions LLC! If you are looking to explore and deepen your understanding of one of the fundamental concepts in calculus, you have come to the right place. This category is dedicated to addressing your questions and providing comprehensive explanations on the subject of limits of functions. Whether you are grappling with finding limits algebraically, evaluating limits as x approaches a particular value, or understanding the concept of continuity, our community of experts is here to assist you. So, take a deep dive into this category and unravel the mysteries of limits in calculus!

Questions (15)

Consider the following function.f(x) = 2x^2 − 8x Find the limit. lim (Δx->0) (f(x+Δx)-f(x))/(Δx) How would I set up the
1. 4 answers
2. asked by Ray
3. 2,216 views
lim n→∞ cos((nπ)/(3n+4)) =
1. 1 answer
2. asked by Danny
3. 178 views
given thatlim f(x) = 5 x->x and lim g(x) = -7 x -> c find lim [f(x)+g(x)]^2 x-> c a. limit does not exist b. -175 c. 4 d. 245 e.
1. 1 answer
2. asked by lottie
3. 407 views
Directions: Using the limit process, find the limit of the following function below.f(x) = 2 – x^2
1. 1 answer
2. asked by Lena
3. 344 views
Find limit if exists1. Lim x goes to 0 x^2cos(1/x^3) 2.lim x goes to 1 to the left 4x/x^2+2x-3 3. Lim x goes to π to the right
1. 2 answers
2. asked by Yumin
3. 566 views
lim [cotx - (1/x)]x-->0
1. 1 answer
2. asked by help pls
3. 303 views
lim t>7 F(x) (1/t)−(1/7)/t-7
1. 1 answer
2. asked by Ira
3. 279 views
lim x->pi cotx/cscx
1. 3 answers
2. asked anonymously
3. 48 views
Consider the function f(x)=sin(1/x)Find a sequence of x-values that approach 0 such that sin (1/x)=0 sin (1/x)=1 sin (1/x)=-1 Is
1. 1 answer
2. asked by George
3. 671 views
Compute each of the following limits if they exist.lim 3x^(2)-x-2 x->2 lim (x^(2)+x-6)/(x-2) x->2
1. 2 answers
2. asked by June
3. 639 views
lim tan x - x/x -> 0 x^2
1. 2 answers
2. asked by Lereesa
3. 588 views
Find the limit as x approaches 0+ of (lnx)/x using L'hospitals rule.When I do this, I keep getting stuck at 1/0 when you plug
1. 5 answers
2. asked by Callie
3. 599 views
thanks for the explanation of limit, but i want someone to help check out this problem for melim x->3 (x^2 - x - 12)/ (x - 3) i
1. 1 answer
2. asked by glen
3. 490 views
Graph of a piecewised function is f(x)=1, x>0 and f(x)=-1, x<0What is the lim f(x)=? x-->-3 I did the following: My f(x)=1, x>0
1. 1 answer
2. asked by lania
3. 459 views
Show that the limit does not exist for the functionLim (x,y)➡(1,-2): (4x^3y^2 - 2xy^5+ 7y-1)/ ( 3y-y^4 + 3x^3)
1. 1 answer
2. asked by sikangele
3. 461 views