lim y->2 (sqrt(y+2)-2)/(y-2)

1 answer

(L'Hopital's Rule)

lim y->2(sqrt(y+2)-2)/(y-2)=
lim y->2 1/2*sqrt(y+2)=
1/2*sqrt(2+2)=
1/4

Similar Questions

Evaluat d 4lowing1.lim x/|x| x-->02.lim x->1 sqrt(x^2+2- sqrt3)/x-1 3.lim n->~ f(n)=(1+1/n)^sqrtn 4. limx->0 f(x)=

Top answer: Sure! Let's evaluate each of these limits step by step. 1. lim(x→0) x/|x| To evaluate this limit, Read more.
show lim x->3 (sqrt(x)) = (sqrt(c))hint: 0< |sqrt(x)-sqrt(c)|= (|x-c|)/(sqrt(x)+sqrt(c))<(1/(sqrt(c))*|x-c|

Top answer: lim x->c (sqrt(x)) = (sqrt(c)) means that the closer x is chosen to c the closer sqrt(x) comes to Read more.
show lim x->3 (sqrt(x)) = (sqrt(c))hint: 0< |sqrt(x)-sqrt(c)|= (|x-c|)/(sqrt(x)+sqrt(c))<(1/(sqrt(c))*|x-c|

Top answer: only if c=3. Read more.
l = lim as x approaches 0 of x/(the square root of (1+x) - the square root of (1-x)decide whether: l=-1 or l=0 or l=1 Let me

Top answer: Yes, you have understood the question correctly. To determine the value of the limit, we will Read more.
find lim f(x) - lim f(x)x->infinity x->-infinity if f(x)=ln (x+sqrt[x^2+a^2])/(x+sqrt[x^2+b^2]) a and b are real numbers

Top answer: To find the limits of the given function, we need to evaluate the limits as x approaches positive Read more.
A sequence{an} is given by a1=sqrt(2), an+1=sqrt(2*an).a) by induction or otherwise, show that {an} is increasing and bounded

Top answer: To show that the sequence {an} is increasing and bounded above by 3, we will use induction. a) Step Read more.
I need help with these problems, I cannot find a similar example to help me in the book:1. Find lim x->infinity (e^(-2x) + sin

Top answer: 1. done by just getting a "feel" for the numbers e^(-2x) = 1/e^(2x) so as x ---> infinitity, the Read more.
need to find:lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting the limit for the numerator and denominator lim lim x->0

Top answer: To solve this limit, start by splitting the limit for the numerator and denominator separately. lim Read more.
Evaluate the following limits:(I) Lim. (x+1)/[1-sqrt(4+3x)] X >-1 (II) Lim. (2-3x-5x^2)/(1+2x^2) X >Infinite

Top answer: done, check back to your earlier post Read more.
Evaluate the following limits:(I) Lim. (x+1)/[1-sqrt(4+3x)] X >-1 (II) Lim. (2-3x-5x^2)/(1+2x^2) X >Infinite

Top answer: To evaluate the given limits, let's go step by step: (I) Limit: (x+1)/(1-sqrt(4+3x)), as x Read more.