For what values of x, if any, does #f(x) = 1/((x-5)sin(pi+(3pi)/x) # have vertical asymptotes?
Emilia AguilarBy signing up, you agree to our Terms of Service and Privacy Policy
Ezra AdamsThe function f(x) has vertical asymptotes at x = 5 and x = 0.
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.
- How do you solve #lim _ { x \rightarrow - 1} \frac { 2x ^ { 3} + 5x ^ { 2} + 4x + 1} { 3x ^ { 3} + 5x ^ { 2} + x - 1}#?
- How do you evaluate #lim_(x-> -3) (5x^4 - 3x^2 + 7x)/3#?
- What are the discontinuities of #(x-2) / (x-2)(x+2)#?
- How do you find the limit of #((x^2)-2x+3)/(6-(3x^4))# as x approaches #oo#?
- How do you find the limit of # (x^2 + 3x - 10)# 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