How do I find the limit of a sequence that is expressed as a fraction?
There are a number of ways of looking at the limiting behaviour of a fraction. Let’s look at three examples:1) a(n) = 2n+1/7n —> divide into two separate terms, that both clearly converge. 2) b(n) = 2/( n^2-1) = (2) x (1)/(n+1)(n-1) = (2) ((A/n+1)+(B/n-1)) = (2) ((-1/n+1)+(1/n-1)) —> Partial fractions method with difference of two squares. 3) c(n) = 8n+7 / (x+2)(x-1) = 3/x+2 + 5/x-1 —> Partial fractions (include other rules too).
ZS
Related Maths A Level answers
All answers ▸A general function f(x) has the property f(-x)=-f(x). State a trigonometric function with this property and explain using the Maclaurin series expansion for this function why this property holds. Write down the integral in the limits -q to q of f(x) wrt x
Differentate sin(x^2+1) with respect to x
Find the values of y such that log2(11y-3)-log2(3)-2log2(y) = 1
How do I use numerical methods to find the root of the equation F(x) = 0?