

Ex 13.1 (Term 1)
Ex 13.1, 2
Ex 13.1, 3
Ex 13.1, 4 Important
Ex 13.1, 5
Ex 13.1, 6 Important
Ex 13.1, 7
Ex 13.1, 8 Important
Ex 13.1, 9
Ex 13.1,10 Important
Ex 13.1, 11
Ex 13.1, 12
Ex 13.1, 13
Ex 13.1, 14 Important
Ex 13.1, 15 Important
Ex 13.1, 16
Ex 13.1, 17 Important
Ex 13.1, 18
Ex 13.1, 19 Important
Ex 13.1, 20
Ex 13.1, 21 Important
Ex 13.1, 22 Important
Ex 13.1, 23
Ex 13.1, 24
Ex 13.1, 25 Important You are here
Ex 13.1, 26
Ex 13.1, 27
Ex 13.1, 28 Important
Ex 13.1, 29
Ex 13.1, 30 Important
Ex 13.1, 31
Ex 13.1, 32 Important
Last updated at Nov. 30, 2019 by Teachoo
Ex 13.1, 25 Evaluate lim┬(x→0) f(x), where f(x) = {█(|x|/x@0,)┤, ■8(x≠0@x=0) Finding limit at x = 0 LHL at x → 0 lim┬(x→0^− ) f(x) = lim┬(h→0) f(0 − h) = lim┬(h→0) f(−h) = lim┬(h→0) (|−ℎ|)/(−ℎ) = lim┬(h→0) ℎ/(−ℎ) = lim┬(h→0) −1 = −1 RHL at x → 0 lim┬(x→0^+ ) f(x) = lim┬(h→0) f(0 + h) = lim┬(h→0) f(h) = lim┬(h→0) (|ℎ|)/ℎ = lim┬(h→0) ℎ/ℎ = lim┬(h→0) 1 = 1 Since LHL ≠ RHL ∴ (𝒍𝒊𝒎)┬(𝒙→𝟎) f(x) doesn’t exist