What is # lim_(x->-oo) f(x) = sinx/(x-8)#?
Christopher Agresta0
The numerator oscillates between -1 to 1, while the denominator tends towards negative infinity. Division of a finite number over an number that becomes arbitrarily large results in zero.
By signing up, you agree to our Terms of Service and Privacy Policy
Paisley JohnsonThe limit of f(x) as x approaches negative infinity is equal to zero.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- Given #k(x) = (x^3 - 2x - 4)/(x-2)# how do you find the limit as x approaches 2?
- What is the limit of #(x^2 + x + 4)/(x^3 - 2x^2 + 7)# as x approaches a and when does the limit exist?
- How do you evaluate the limit #sin(ax)/sin(bx)# as x approaches #0#?
- What is the discontinuity of the function #f(x) = |x-5|/(x-5)# ?
- Given #f(x) = (x^2 + x - 6)/ (x + 3)# how do you find the limit as x approaches -2?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7