Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist, enter DNE.) (t + 1, e+ 1), tz 1 t< 1 lim h(t) = t 1 2 L = The limit does not exist at x = 1 because the function does not approach f(1) as x approaches 1. The limit does not exist at x = 1 because the function approaches different values from the left and right side of 1. O The limit does not exist at x = 1 because the function value is undefined at x = 1. O The limit does not exist at x = 1 because the function is not continuous at any x value. O The limit exists at x = 1. оо

Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist, enter DNE.) (t + 1, e+ 1), tz 1 t< 1 lim h(t) = t 1 2 L = The limit does not exist at x = 1 because the function does not approach f(1) as x approaches 1. The limit does not exist at x = 1 because the function approaches different values from the left and right side of 1. O The limit does not exist at x = 1 because the function value is undefined at x = 1. O The limit does not exist at x = 1 because the function is not continuous at any x value. O The limit exists at x = 1. оо

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Similar questions

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.
Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) x2yey x4 + 2y2
Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) xy/square root x2 + y2
Find the limit of f(x) as x approaches 2, if it exist. DNE -12 -6 0
Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim(x,y) -->(0,0) ((xy^4)/(x^2+y^8))
What is the limit of f(x) = 3 as x approaches π? (If an answer does not exist, enter DNE.)
Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞ 6e−6x
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→0 (1/t) - (1/(t2 + t))
Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(2, 1) (8x3 − x2y2)
Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim h→0 8h2 + h 3h2 + 3h - ________________ If the limit does not exist, say why. (If the limit does exist, so state.) -The limit does not exist because one side diverges to ∞ and the other side diverges to −∞. -The limit does not exist because only one of the left or right limits exists as a finite value. -The limit does not exist because the left and right limits exist but are not the same finite value. -The limit does not exist because it diverges to ∞ or −∞. -The limit does exist and is a finite number.
Find the limit. (Hint: Let x = 1 / t and find the limit as t→0+.)
Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −1 (t2 + 1)2(t + 5)5