4. Show that lim -oxsin(1/2) = 0 by by appealing directly to the definition of limit. Recall that -1 < sin < 1. 5. Define a function that is nowhere continuous and another function that is continuous only at one point in its domain.
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
1. Use only definition 4.2.1 (functional limit) to prove that . lim (2.rº + 3.2 + 4) = 6
ao Show all your work. Justify all your answers. Using the e-6 definition of a limit, prove that lim (3r - 2y +1) 4. Type here to search
ao Show all your work. Justify all your answers. Using the e-6 definition of a limit, prove that lim (3r - 2y +1) 4. Type here to search
**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
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
lim X3 ws #1 use E-s limit definition to prove #2 Find an equation of the tangent line at (1,1) on the curve y4+xy =X3_x+2.
Using the definition of limit to show that lim v/2x +1-3 z→1 Using the above result and the law of limits to prove that linn var + 1-V3 = 2V3
S definition of limit or the Sequential Criterion for limits, to establish 2. (a) Use either the e - the following limits 1 lim i. lim n+2 = 4 ii ==1 2x +3 1- x n -1 T2 3x x2 - x + 1 1 ii. lim n 1 iv. lim n6 = 2 - 1 2 +3
S definition of limit or the Sequential Criterion for limits, to establish 2. (a) Use either the e - the following limits...
2. Use the limit theorems to find the following limit. r? +10x + 25 lim x+5 Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f(x+h)-f(x) f'(x) = {im What is the slope of tangent line to this curve at x =-1?