# calculus

lim x->16 4- sqrt(x) / x-16

1. 👍 0
2. 👎 0
3. 👁 169
1. Did you realize that
x-16 = (√x+4)(√x-4) ?

then your limit question simplifies to

lim (4-√x)/( (√x+4)(√x-4) ) as x --> 16
= lim -1/(√x+4) as x --> 16
= -1/8

1. 👍 0
2. 👎 0

## Similar Questions

1. ### algebra

am I right? 1. Simplify radical expression sqrt 50 5 sqrt ^2*** 2 sqrt ^5 5 sqrt ^10 5 2. Simplify the radical expression sqrt 56x^2 28x 2x sqrt 14*** 2x sqrt 7 sqrt 14x2 3. Simplify the radical expression. sqrt 490y^5w^6 2 sqrt

2. ### Math

lim x→−12 sqrt(x^2 +25 −13)/x+12

3. ### Check my CALCULUS work, please! :)

Question 1. lim h->0(sqrt 49+h-7)/h = 14 1/14*** 0 7 -1/7 Question 2. lim x->infinity(12+x-3x^2)/(x^2-4)= -3*** -2 0 2 3 Question 3. lim x->infinity (5x^3+x^7)/(e^x)= infinity*** 0 -1 3 Question 4. Given that: x 6.8 6.9 6.99 7.01

4. ### calculus

Evaluate the following limit: lim x --> 2 sqrt(x^2 - x)/(2x - 3)

1. ### Calculus

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

2. ### No one is helping me :/ ??

If y = 3 is a horizontal asymptote of a rational function, which must be true? lim x→ 3 f(x) = 0

3. ### Calculus

For the function f whose graph is given, state the following (a) lim x → ∞ f(x) (b) lim x → −∞ f(x) (c) lim x → 1 f(x) (d) lim x → 3 f(x) (e) the equations of the asymptotes (Enter your answers as a comma-separated

4. ### Calculus I

Find numbers a and b such that: lim (sqrt(ax+b)-9)/x =1 x->0

1. ### Math:)

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates

1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 ***The limit does not exist. 2. Evaluate: lim x->infinity (2^x+x^3)/(x^2+3^x) 0 1 3/2 ***2/3 The limit does not exist. 3. lim x->0 (x^3-7x+9)/(4^x+x^3) 0 1/4 1 ***9 The

3. ### Algebra

Evaluate sqrt7x (sqrt x-7 sqrt7) Show your work. sqrt(7)*sqrt(x)-sqrt(7)*7*sqrt(7) sqrt(7*x)-7*sqrt(7*7) sqrt(7x)-7*sqrt(7^2) x*sqrt 7x-49*x ^^^ would this be my final answer?

4. ### calculus

Can someone please help me with these two? im so lost and i really appreciate it if someone could show me what to do! 1) To evaluate lim x→infinity sqrt (x^2 + 4) first consider that as x becomes infinitely large, x^2+4 -> _____