cosine, cosecant, secant और cotangent फलनों के सातत्य पर विचार कीजिए।
Answers
Cosine संतत है , cosecant, संतत है , x ≠ nπ , n ∈ z , secant संतत है x ≠ (2n + 1)π/2 n ∈ z , cotangent संतत है x ≠ (2n + 1)π/2 n ∈ z
Step-by-step explanation:
Lim (x → c) Cosx = Cosc
f(c) =Cosc
LHS = RHS
LHL = Lim (h → 0) f(c - h) =Cos(c - h) =CoscCosh + SincSinh = Cosc
RHL Lim (h → 0) f(c - h) = Sin(c - h) = CoscCosh - SincSinh = Cosc
f(c) = Cosc
LHL = RHL = f(c)
Cosine संतत है
secant = 1/Cos
cosx ≠ 0 x ≠ (2n + 1)π/2 n ∈ z
secant संतत है x ≠ (2n + 1)π/2 n ∈ z
Cosecant = 1/Sin
Lim (x → c) Sinx = Sinc
f(c) = Sinc
LHS = RHS
LHL = Lim (h → 0) f(c - h) = Sin(c - h) = SincCosh - CoscSinh = Sinc
RHL Lim (h → 0) f(c - h) = Sin(c + h) = SincCosh + CoscSinh = Sinc
f(c) = Sinc
LHL = RHL = f(c)
Sinx ≠ 0 x ≠ nπ
cosecant, संतत है x ≠ nπ , n ∈ z
cotangent = Sin/Cos
cosx ≠ 0 x ≠ (2n + 1)π/2 n ∈ z
cotangent संतत है x ≠ (2n + 1)π/2 n ∈ z
और जानें:
फलन f(x) = 5x – 3, x = 0, x = – 3 तथा x = 5 पर संतत है
brainly.in/question/15285693
X = 3 पर फलन f(x) = 2x^{2} – 1 के सातत्य की जाँच कीजिए।
brainly.in/question/15285688