Determine the limit and then use the definition to verify it
[ 10 pts.] 9. Use the alternative limit definition of derivative to determine whether the function 8sinh(x/2) ifx<2 f(x)= is differentiable or not differentiable at 2x²+x-1 if x2 x=c=2 Show all work !!!
**please note the limit definition has an "a"** 1. (5 points) Use the limit definition to find the derivative of f(x) = 3x2 – 2+1 at x = 4. Show all steps and setup f(a+h)-f(a) lim h h0
definition of limit to prove that lim ,-e3. 3, (a) Use the - (b) Suppose lim g(z) 0 and if(x)| |g(z)| for all z E R. Use the ε-δ definition of limit to prove that lim f(x)=0 definition of limit to prove that lim ,-e3. 3, (a) Use the - (b) Suppose lim g(z) 0 and if(x)| |g(z)| for all z E R. Use the ε-δ definition of limit to prove that lim f(x)=0
a. Use the limit definition to prove b. Use the two limits in part a and limit properties to prove Give a reason for each step Thank you!
Can you please help me solve the question please ! Thanks! Use the precise definition of the limit i.e(M's) to prove that lim ос Use the precise definition of the limit i.e(M's) to prove that lim ос
Use the limit definition of a derivative to find dy/dx, given 𝑦 = x2 − 3x + 1.
Use this definition of a right-hand limit to prove the following limit. EXAMPLE 3 x0 SOLUTION and L such that 1. Guessing a value for 6. Let & be a given positive number. Here a = so we want to find a number 0 x6 if then that is if 0 <x<6 then <E or, raising both sides of the inequality to the eleventh power, we get 0 <x if then x < This suggests we should choose 8= 2....
The limit below is a definition of f'(a). Determine the function f(x) and the value of a. 3 8+h -0.375 lim ho h f(x) =
Use the limit definition to show that 3r + 1 - = + lim 1-2 - 2
0 Use the definition of the derivative (the limit process) to find the equation of the that is tangent to the curve line having slope sketch the graph and the tangent)