Calculus
posted by John .
a and b are integers that satisfy: \displaystyle \lim_{x \to 1} \frac{x1}{x^2ax+b} = \frac{1}{3}. What is the value of a+b?
Respond to this Question
Similar Questions

Calculus
Evaluate \displaystyle \lim_{x \to 0} \frac{e^{44x}  1}{x^2+2x}. 
Calulus
Given \displaystyle \int_0^{\frac{3\pi}{2}} x^2\cos x \, dx = a  \frac{b\pi^2}{c}, where a, b and c are positive integers and b and c are coprime, what is the value of a + b + c? 
Calculus
Given f(x) = x^4 + 6x^3  15x + 7, evaluate \displaystyle \lim_{h \to 0} \frac{f(1+h)  f(1h)}{h}. 
Calculus
Given f(x) = \frac{x^32x+5}{x+4} and f’(3) = \frac{a}{b}, where a and b are coprime positive integers, what is the value of a+b? 
Algebra
a and b are positive numbers that satisfy the equation \frac {1}{a}  \frac {1}{b} = \frac {1}{a+b} . Determine the value of \frac {a^6}{b^6} + \frac {b^6} {a^6} . 
Simple Calculus
Evaluate \displaystyle \lim_{x \to 0} \frac{\sqrt{2}x}{\sqrt{2+x}\sqrt{2}}. 
Physics
The equation describing the (r, \theta ) coordinates of points along a single field line of a magnetic dipole is r=R_0 \sin ^2(\theta ) where \theta =0 is in the direction of the dipole moment and R_0 is a constant which is different … 
calculus
a. The value of \displaystyle \int_{2}^{1} \frac{14}{ 4 x } dx is b. The value of \displaystyle \int_{1}^{2} \frac{14}{ 4 x } dx is 
math
How many pairs of integers $(b,c)$ satisfy the equation \[\frac{b + 7}{b + 4} = \frac{c}{9}? 
algebra
How many pairs of integers $(b,c)$ satisfy the equation \[\frac{b + 7}{b + 4} = \frac{c}{9}?