1.

Differentiate from definitione^(3x)

Answer»

Solution :LET `y=e^(3X)`
`lim_(deltaxto0)(e^(3x)(e^(3delta)-1))/(DELTAX)`
`=lim_(deltaxto0)e^(3x).3.(e^(3delta)-1)/(3deltax)`
`3e^(3x).`lim_(deltaxto0)(e^(3delta)-1)/(3deltax)`=3e^(3x)`
[`thereforelim_(thetato0)(e^theta-1)/theta=1`


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