Question

f के सभी असातत्यता के बिन्दुओं को ज्ञात कीजिए, जहाँf(x) = \left \{ {{sin x/ x } यदि x < 0 \atop {x+1} यदि x \geq 0 } \right

Answer 1

Answer:

plz mark as brainlist answers it was

Answer 2

f(x)   संतत है

Step-by-step explanation:

f(x) = Sinx/x  यदि     x < 0

       x + 1        यदि   x ≥ 0

x < 0  , x = 0  , x > 0

x < 0

f(x) = Sinx/x

संतत है  यदि

Lim (x → c) f(x) = f(c)    c < 0

Lim (x → c) f(x) = Sinc/c

f(c) = Sinc/c  

LHS = RHS

f(x)  , x < 0 पर संतत है

x > 0

f(x) = x + 1

संतत है  यदि

Lim (x → c) f(x) = f(c)    c > 0

Lim (x → c) f(x) = c + 1

f(c) = c + 1

LHS = RHS

f(x)  , x > 0 पर संतत है

x  =0 , संतत है  यदि

LHL = RHL = f(0)

LHL = Lim (h → 0)  f(0 - h) = Sin(-h)/(-h)  = Sinh/h = 1

RHL = Lim (h → 0)  f(0 + h) = h + 1 = 1

f(0) = 0 + 1 = 1

LHL = RHL = f(0)

f(x)  , x = 0 पर संतत है

f(x)   संतत है

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