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