Calculus Answers

Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 7 squared as x approaches 7.

The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 9 as x approaches 9 from the left.

limit of f of x as x approaches 1 where f of x equals 1 minus x when x is less than 1, 8 when x equals 1, and x plus 7 when x is greater than 1

Find the indicated limit, if it exists.

limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less than 9 and f of x equals 9 minus x when x is greater than or equal to 9

Find the limit of the function algebraically.

limit as x approaches zero of quantity nine plus x divided by x to the third power.

Find the limit of the function algebraically.

limit as x approaches zero of quantity negative six plus x divided by x to the fourth power.

Find the limit of the function by using direct substitution.

limit as x approaches two of quantity x squared plus three x minus one.

Find the limit of the function by using direct substitution.

limit as x approaches zero of quantity x squared minus eight.

Find the derivative of f(x) = negative 7 divided by x at x = -3.