# How doI find limits in calculus?

There isn't a single approach that works for all functions and values that a variable is getting close to. It's best to inquire about particular boundaries in order to get clarification.

By signing up, you agree to our Terms of Service and Privacy Policy

To find limits in calculus, you can use various methods such as direct substitution, factoring, rationalizing, or applying limit laws. Direct substitution involves substituting the value the variable is approaching into the function. Factoring can help simplify the expression and cancel out common factors. Rationalizing involves multiplying the numerator and denominator by the conjugate to eliminate radicals in the expression. Limit laws allow you to simplify expressions by applying properties of limits. Additionally, you can use L'Hôpital's Rule for certain indeterminate forms.

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.

- In the limit #lim 16/x^4=oo# as #x->0#, how do you find #delta>0# such that whenever #0<absx<delta#, #16/x^4>10,000#?
- How do you evaluate the limit #3x^3-2x^2+4# as x approaches #1#?
- How do you find the limit as (x,y) approaches (0,0) of #(x+y^2) / (2x+y)#?
- How do you find #lim (3t^3+4)/(t^2+t-2)# as #t->1#?
- How do you find the x values at which #f(x)=cos((pix)/2)# is not continuous, which of the discontinuities are removable?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7