Given that: lim f(x) = 4, lim g(x) = -2, lim h(x) = 0, x→2 Find the limits if they exist, if not enter DNE. 1. lim[f(x)+5g(x)] = 2. lim[f(x)h(x)] = 3. lim(x-2) = 4. lim[f(x)+2g(x)]
Added by Philip L.
Step 1
Step 1: Using the properties of limits, we can find the limit of the sum of two functions: lim[f(x)+5g(x)] = lim[f(x)] + 5*lim[g(x)] Step 2: Substitute the given limits: lim[f(x)+5g(x)] = 4 + 5*(-2) Step 3: Calculate the sum: lim[f(x)+5g(x)] = 4 - 10 Step Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 64 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Given that lim f(x) = 4, lim g(x) = -4, lim h(x) = 0, x→2 Find the limits, if they exist. (If an answer does not exist, enter DNE.)
Adi S.
Given that lim f(x) = 9, lim g(x) = -4, lim h(x) = 0 as x approaches 2, find the limits, if they exist (If an answer does not exist, enter DNE).
Sri K.
Given that lim x→2 f(x) = 4, lim x→2 g(x) = -4, lim x→2 h(x) = 0, find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) lim x→2 [f(x) + 4g(x)] (b) lim x→2 [g(x)]^3 (c) lim x→2 √f(x) (d) lim x→2 [4f(x)/g(x)] (e) lim x→2 [g(x)/h(x)] (f) lim x→2 [g(x)h(x)/f(x)]
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD